scientific article; zbMATH DE number 1027930
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Publication:4342000
zbMath0885.14002MaRDI QIDQ4342000
Publication date: 30 June 1997
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Schubert calculusintersection theorycharacteristic classesChow groupsalgebraic cyclesChow ringsenumerative geometryRiemann-Roch algebra
Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15)
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II, Lagrangian cobordism and tropical curves, Higher codimension cycles on the Hilbert scheme of three points on the projective plane, The multiplicative group action on singular varieties and Chow varieties, Number of points of curves over finite fields in some relative situations from an Euclidean point of view, Virtual cycles of stable (quasi-)maps with fields, The generalized Franchetta conjecture for some hyper-Kähler varieties. II, Global representation of Segre numbers by Monge-Ampère products, Quadratic Chabauty for modular curves and modular forms of rank one, BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures, Picard group of moduli of curves of low genus in positive characteristic, Codimension 2 cycles on Severi-Brauer varieties and decomposability, Global Frobenius liftability. I, Counting maximal Lagrangian subbundles over an algebraic curve, Cohomological invariants of the stack of hyperelliptic curves of odd genus, Virtual intersection theories, On the discriminant locus of a rank \(n-1\) vector bundle on \(\mathbb{P}^{n-1}\), Characteristic cycle and wild ramification for nearby cycles of étale sheaves, Chow group of 1-cycles of the moduli of parabolic bundles over a curve, New analytical and geometrical aspects of the algebraic multiplicity, The unirationality of the moduli space of \(K3\) surfaces of genus 22, Identifying limits of ideals of points in the case of projective space, Properties of schemes of morphisms and applications to blow-ups, Constant cycle and co-isotropic subvarieties in a Mukai system, Localized Chern characters for 2-periodic complexes, Motivic invariants of symmetric powers of curves, Log smooth curves over discrete valuation rings, The Walker Abel-Jacobi map descends, On the positivity of high-degree Schur classes of an ample vector bundle, The Hilbert scheme of a pair of linear spaces, On non-proper intersections and local intersection numbers, Cohomology of the moduli space of non-hyperelliptic genus four curves, Zero-cycle groups on algebraic varieties, Tau function and moduli of meromorphic quadratic differentials, An introduction to \(\mathbb{A}^1\)-enumerative geometry. Based on lectures by Kirsten Wickelgren delivered at the LMS-CMI research school ``Homotopy theory and arithmetic geometry -- motivic and Diophantine aspects, \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey, Schubert calculus from polyhedral parametrizations of Demazure crystals, Meromorphic limits of automorphisms, Maximal rank subgroups and strong functoriality of the additive eigencone, Birational superrigidity and K-stability of projectively normal Fano manifolds of index one, Rationality of complete intersections of two quadrics over nonclosed fields, \(K\)-theoretic balancing conditions and the Grothendieck group of a toric variety, The shape of Hilbert-Kunz functions, Motivic cohomology of fat points in Milnor range via formal and rigid geometries, The numerical algebraic geometry of bottlenecks, An algebraic-geometric construction of ind-varieties of generalized flags, On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces, Cohomology of the moduli stack of algebraic vector bundles, A semi-small decomposition of the Chow ring of a matroid, A generalization of Beilinson's geometric height pairing, On a Lefschetz-type phenomenon for elliptic Calabi-Yaus, Anticanonical geometry of the blow-up of \(\mathbb{P}^4\) in 8 points and its Fano model, Enumerative geometry, before and after string theory, A general notion of coherent systems, Flag matroids: algebra and geometry, Artinian algebras and Jordan type, Del Pezzo orders on projective surfaces., Ample filters of invertible sheaves., Hilbert polynomials and Arveson's curvature invariant., A geometric lower bound theorem, On the number of generators of ideals in polynomial rings, Multigraded Cayley-Chow forms, Integral Gassman equivalence of algebraic and hyperbolic manifolds, Newton-Okounkov bodies on projective bundles over curves, On nearly smooth complex spaces, Action of correspondences on filtrations on cohomology and 0-cycles of abelian varieties, Motivic cohomology, localized Chern classes, and local terms, Intersection theory of the Peterson variety and certain singularities of Schubert varieties, Cohomology of noncommutative Hilbert schemes, A Riemann-Roch formula for the blow-up of a nonsingular affine scheme, A new proof of the new intersection theorem, The Noether-Lefschetz theorem for the divisor class group, Stability of foliations induced by rational maps, Durfee-type inequality for complete intersection surface singularities, Cohomology of bimultiplicative local systems on unipotent groups, On the rational motivic homotopy category, Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties, Bounds for the stalks of perverse sheaves in characteristic \(p\) and a conjecture of Shende and Tsimerman, Non-reduced fibers of an arithmetic scheme, Nonproper intersection products and generalized cycles, Pseudo-effective cones of projective bundles and weak Zariski decomposition, Characteristic classes of Borel orbits of square-zero upper-triangular matrices, A remark on deformations of 1-convex manifolds with exceptional curves, Idele class groups with modulus, Counting multiplicities in a hypersurface over a finite field, A note on the moduli spaces of holomorphic and logarithmic connections over a compact Riemann surface, Extremal rays in the Hermitian eigenvalue problem, Unlikely intersections of curves with algebraic subgroups in semiabelian varieties, \(K\)-theoretic Chern class formulas for vexillary degeneracy loci, Morphisms between Grassmannians, Primes in short intervals on curves over finite fields, Surfaces in the flag threefold containing smooth conics and twistor fibers, Seshadri constants over fields of characteristic zero, The correction term for the Riemann-Roch formula of cyclic quotient singularities and associated invariants, On the Behrend function and the blowup of some fat points, A study of nonlinear multiview varieties, Aluffi torsion-free ideals, A Riemann-Hurwitz-Plücker formula, Derived log Albanese sheaves, Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting), \(p\)-adic equidistribution of CM points, Four positive formulae for type \(A\) quiver polynomials, Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points, Openness of uniformly valuative stability on the Kähler cone of projective manifolds, The minimal model program for b-log canonical divisors and applications, Noncommutative Artin motives, Generic residual intersections and intersection numbers of movable components, Decomposition of small diagonals and Chow rings of hypersurfaces and Calabi-Yau complete intersections, Exceptional collections of line bundles on the Beauville surface, Riemann-Roch formulas for universal bivariant theories, Families of invariant divisors on rational complexity-one \(T\)-varieties, Varieties connected by chains of lines, Twisted gamma filtration and algebras with orthogonal involution, Arc spaces and equivariant cohomology, Abelian varieties in Brill-Noether loci, Cycle modules and the intersection \(A_\infty\)-algebra, Extensions of Saito's filtration, Maps between certain complex Grassmann manifolds, Mustafin degenerations, Calabi-Yau Fourfold Compactifications in String Theory, Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization, Computing the characteristic numbers of the variety of nodal plane cubics in \(\mathbb P^3\), Stringy K-theory and the Chern character, A relation between the parabolic Chern characters of the de Rham bundles, Criteria of algebraic independence with multiplicities and approximation by hypersurfaces, Bounds for the Castelnuovo-Mumford regularity of modules, Generic vanishing and minimal cohomology classes on abelian varieties, Motives of unitary and orthogonal homogeneous varieties, Naïve noncommutative blowups at zero-dimensional schemes, Schubert calculus and equivariant cohomology of Grassmannians, Inflectional loci of scrolls, Enumeration of singular algebraic curves, An intersection multiplicity in terms of $\textrm {Ext}$-modules, A note on morphic cohomology and algebraic cycles, Algebraic connective \(K\)-theory and the niveau filtration, On motivic decompositions arising from the method of Białynicki-Birula, Explicit determination of the Picard group of moduli spaces of semistable \(G\)-bundles on curves, Equivariant quantum Schubert calculus, Chern classes of uniruled varieties, A Riemann-Roch theorem, Positivity of Chern classes of Schubert cells and varieties, Singularities of dual varieties in characteristic 3, Eigenvalue problem and a new product in cohomology of flag varieties, The cone spanned by maximal Cohen-Macaulay modules and an application, Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves, Correspondence theorems via tropicalizations of moduli spaces, Hypersurfaces that are not stably rational, Naïve blowups and canonical birationally commutative factors, Enumerative geometry of Calabi-Yau 4-folds, An upper bound on the number of rational points of arbitrary projective varieties over finite fields, Fine polar invariants of minimal singularities of surfaces, Vanishing theorems of generalized Witten genus for generalized complete intersections in flag manifolds, Characterization of simplices via the Bezout inequality for mixed volumes, Chern classes of tensor products, Steenrod operations on the Chow ring of a classifying space, Non-divisible cycles on surfaces over local fields, Motivic cell structures, Congruences for rational points on varieties over finite fields, Rational curves on minuscule Schubert varieties, Polylogarithms, regulators, and Arakelov motivic complexes, GROTHENDIECK GROUPS AND A CATEGORIFICATION OF ADDITIVE INVARIANTS, Riemann-Roch for general algebraic varieties, Sextic Double Solids, Tautological Classes of the Stack of Rational Nodal Curves, Growth in finite simple groups of Lie type, Hall algebras and curve-counting invariants, The Hodge diamond of O’Grady’s six-dimensional example, Likelihood Geometry, Linear Toric Fibrations, Excess Linear Series on an Algebraic Curve, Random algebraic construction of extremal graphs, Wild ramification and the characteristic cycle of an ℓ-adic sheaf, Witt groups of Grassmann varieties, Enumeration of surfaces containing an elliptic quartic curve, Index of varieties over Henselian fields and Euler characteristic of coherent sheaves, Fourier–Mukai Partners and Polarised $$\mathop{\mathrm{K3}}\nolimits$$ Surfaces, Théorème de Riemann-Roch par désingularisation, Pseudo-reflection groups and essential dimension, Un produit d'intersection non borné dans la K-homologie des pseudovariétés, Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus de l'espace projectif, Higher Gauss maps of Veronese varieties—A generalization of Boole’s formula and degree bounds for higher Gauss map images, Chow–Künneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles, Langlands correspondence for isocrystals and the existence of crystalline companions for curves, A Gysin formula for Hall-Littlewood polynomials, On rational points of varieties over local fields having a model with tame quotient singularities, Zero cycles with modulus and zero cycles on singular varieties, A compactification of the moduli space of self-maps of $\mathbb {CP}^1$ via stable maps, Incompressible Grassmannians of isotropic subspaces, K-groups of reciprocity functors, Higher Chow groups with modulus and relative Milnor $K$-theory, Heights and the specialization map for families of elliptic curves over $\mathbb {P}^n$, Birational geometry of quadrics in characteristic 2, Quantitative geometric and arithmetic results on projective surfaces, Semi-continuity for total dimension divisors of étale sheaves, On parametrizing exceptional tangent cones to Prym theta divisors, Non-isolated hypersurface singularities and Lê cycles, Cohomology of presheaves with oriented weak transfers, Eigenconfigurations of tensors, Embeddings of algebras in derived categories of surfaces, Stability conditions and crepant small resolutions, Unnamed Item, DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE, Kähler–de Rham Cohomology and Chern Classes, Divisor class groups of singular varieties, Characteristic cycles and the relative local Euler obstruction, Lectures on Chow-Witt groups, Chow-Witt rings of split quadrics, Negative 𝐾-theory and Chow group of monoid algebras, Introduction to work of Hassett-Pirutka-Tschinkel and Schreieder, The Rigidity Theorem of Fano–Segre–Iskovskikh–Manin–Pukhlikov–Corti–Cheltsov–de Fernex–Ein–Mustaţă–Zhuang, Toric vector bundles, branched covers of fans, and the resolution property, Zéro-cycles sur les espaces homogènes et problème de Galois inverse, Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups, Some intersection numbers of divisors on toroidal compactifications of 𝒜_{ℊ}, Linear projections and successive minima, Jumping Numbers of Hyperplane Arrangements, The Stack of Rational Curves, A short Proof of Bezout's Theorem in P2, Classification of Rank-2 Ample and Spanned Vector Bundles on Surfaces Whose Zero Loci Consist of General Points, Rank-2 Vector Bundles on ind-Grassmannians, Quantum cohomology of $\text{\normalfont H\lowercase{ilb}}^2(\mathbb{P}^1 \times\mathbb{P}^1)$ and enumerative applications, Multiple points in $\mathbf {P}^2$ and degenerations to elliptic curves, Hypersurfaces with up to Six Double Points, Transcendental lattices and supersingular reduction lattices of a singular 𝐾3 surface, Geometric proofs of Horn and saturation conjectures, Murre’s conjectures and explicit Chow–Künneth projectors for varieties with a nef tangent bundle, Group completions via Hilbert schemes, Quantum cohomology of the Lagrangian Grassmannian, Differentiability of volumes of divisors and a problem of Teissier, On modularity of rigid and nonrigid Calabi-Yau varieties associated to the Root Lattice A4, Iversen's formula for the second Chern classes of regular surfaces in any characteristic, Regeneration homotopies for solving systems of polynomials, Topological String Theory on Compact Calabi–Yau: Modularity and Boundary Conditions, THE INTEGRAL HODGE CONJECTURE FOR 3-FOLDS OF KODAIRA DIMENSION ZERO, Pointed trees of projective spaces, Families of explicitly isogenous Jacobians of variable-separated curves, The incidence correspondence and its associated maps in homotopy, Cylindrical homomorphisms and Lawson homology, Singularities of Brill-Noether loci for vector bundles on a curve, ORIENTED BIVARIANT THEORIES, I, Zariski decompositions of numerical cycle classes, Higher bivariant Chow groups and motivic filtrations, Chern class formulas for $G_{2}$ Schubert loci, Cobordism invariants of the moduli space of stable pairs, Decent intersection and Tor-rigidity for modules over local hypersurfaces, Degree formula for the Euler characteristic, Formulas for the multiplicity of graded algebras, Cohen-Macaulay residual intersections and their Castelnuovo-Mumford regularity, Multiplicity of Boardman strata and deformations of map germs, Effectivity of dynatomic cycles for morphisms of projective varieties using deformation theory, A counterexample of the birational Torelli problem via Fourier–Mukai transforms, Bases in equivariant 𝐾-theory. II, On a class of special linear systems of $\mathbb{P}^3$, On the Chow ring of the classifying stack of PGL3,ℂ, Symplectic branching laws and Hermitian symmetric spaces, The Grothendieck-Lefschetz theorem for normal projective varieties, Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity, Vojta’s Main Conjecture for blowup surfaces, Hypersurfaces in P^5 containing unexpected subvarieties, Quantum Cohomology under Birational Maps and Transitions, Rank two ACM bundles on the double embedding of a quadric surface, Double nested Hilbert schemes and the local stable pairs theory of curves, Virtual classes for hypersurfaces via two-periodic complexes, Localized Chern characters for 2-periodic complexes and virtual cycles, Toward good families of codes from towers of surfaces, The quadratic hull of a code and the geometric view on multiplication algorithms, Steenrod operations in Chow theory, A categorical 𝔰𝔩₂ action on some moduli spaces of sheaves, Nef cone and Seshadri constants on products of projective bundles over curves, STRING TOPOLOGICAL ROBOTICS 2, Curves on Frobenius classical surfaces in $\mathbb{P}^{3}$ over finite fields, Divisors on the Moduli Space of Curves From Divisorial Conditions On Hypersurfaces, On the Clifford algebra of a binary form, The Hard Lefschetz Theorem and the topology of semismall maps, Experiments with Ceresa classes of cyclic Fermat quotients, On an Example of Quiver Donaldson–Thomas/Relative Gromov–Witten Correspondence, LEHN’S FORMULA IN CHOW AND CONJECTURES OF BEAUVILLE AND VOISIN, Geometric anomaly detection in data, Logarithmic concavity of Schur and related polynomials, Poincaré polynomials of generic torus orbit closures in Schubert varieties, Examples of multiplicities and mixed multiplicities of filtrations, Generalized Poincaré series for plane curve singularities, PGL2-equivariant strata of point configurations in P1, The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials, Torsion points on isogenous abelian varieties, Tropical correspondence for smooth del Pezzo log Calabi-Yau pairs, Deligne-Beilinson cohomology of the universal K3 surface, BOUNDNESS OF INTERSECTION NUMBERS FOR ACTIONS BY TWO-DIMENSIONAL BIHOLOMORPHISMS, The Abelian/Nonabelian Correspondence and Gromov–Witten Invariants of Blow-Ups, On the cohomology of reciprocity sheaves, Characteristic cycle of a rank one sheaf and ramification theory, 𝐾-theory and 0-cycles on schemes, Varieties with nef diagonal, A counter-example by Yagita, Projective duality and a Chern-Mather involution, Rigid divisors on surfaces, L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces, Indecomposability and cyclicity in the p-primary part of the Brauer group of a p-adic curve, Genera of Brill-Noether curves and staircase paths in Young tableaux, Lectures on Bridgeland Stability, Computing the Chern–Schwartz–MacPherson Class of Complete Simplical Toric Varieties, Virtual pullbacks in K-theory, The Derived Category of Coherent Sheaves and B-model Topological String Theory, Calabi–Yau Quotients of Hyperkähler Four-folds, OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES, The auto Igusa-zeta function of a plane curve singularity is rational, On Milnor’s fibration theorem and its offspring after 50 years, Unnamed Item, Iitaka dimension for cycles, On finite generation of the section ring of the determinant of cohomology line bundle, Polynomials nonnegative on the cylinder, Rational cuspidal curves on del-Pezzo surfaces, Localizing virtual fundamental cycles for semi-perfect obstruction theories, Spaces of conics on low degree complete intersections, Density of positive closed currents, a theory of non-generic intersections, Generic vanishing and minimal cohomology classes on abelian fivefolds, Weak approximation for general degree two del Pezzo surfaces, A trichotomy for the autoequivalence groups on smooth projective surfaces, Pulling back cohomology classes and dynamical degrees of monomial maps, Arithmetic of K3 Surfaces, On the second sectional geometric genus of quasi-polarized manifolds, What is motivic measure?, Log-terminal singularities and vanishing theorems via non-standard tight closure, Derived categories of Gushel–Mukai varieties, Cremona transformations and derived equivalences of K3 surfaces, Chern class formulas for classical-type degeneracy loci, Universal Gysin formulas for the universal Hall-Littlewood functions, An improved defect relation for holomorphic curves in projective varieties, Unnamed Item, Residues for maps generically transverse to distributions, Criteria for $\sigma $-ampleness, The moduli space of cubic surface pairs via the intermediate Jacobians of Eckardt cubic threefolds, The Strong Maximal Rank conjecture and higher rank Brill–Noether theory, The Bottleneck Degree of Algebraic Varieties, Invariants of stable quasimaps with fields, Residue currents and fundamental cycles, Minimal rational curves on generalized Bott–Samelson varieties, Three lectures on quiver Grassmannians, Automorphisms of cubic surfaces in positive characteristic, On descending cohomology geometrically, Cycles, cocycles, and duality on tropical manifolds, Cycles, derived categories, and rationality, Dynamical invariants of monomial correspondences, Determinantal tensor product surfaces and the method of moving quadrics, An equivariant basis for the cohomology of Springer fibers, The positivity of local equivariant Hirzebruch class for toric varieties, Regularity of structure sheaves of varieties with isolated singularities, Rigidity for relative 0-cycles, Orbital degeneracy loci and applications, The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three, Effective cones of cycles on products of projective bundles over curves, Quadratic double ramification integrals and the noncommutative KdV hierarchy, EFFECTIVE CYCLES ON SOME LINEAR BLOWUPS OF PROJECTIVE SPACES, De Rham–Witt sheaves via algebraic cycles, Cremona Transformations of Weighted Projective Planes, Zariski Pairs, and Rational Cuspidal Curves, Motivic Chern Classes of Cones, Characteristic cycles and the conductor of direct image, Characteristic cycles, micro local packets and packets with cohomology, Gromov–Witten theory with maximal contacts, Non-density of small points on divisors on Abelian varieties and the Bogomolov conjecture, Intersection forms of toric hyperkähler varieties, Orientations and transfers in cohomology of algebraic varieties, Localizing virtual cycles by cosections, Essential dimension, Lefschetz classes on projective varieties, Ulrich bundles on Veronese surfaces, Reciprocity sheaves, An approach to intersection theory on singular varieties using motivic complexes, Chern–Schwartz–MacPherson classes for Schubert cells in flag manifolds, Équivalence motivique des groupes algébriques semisimples, Dynamical degrees of Hurwitz correspondences, Variety of Idempotents in Nonassociative Algebras, Improved Bounds for Incidences Between Points and Circles, CATEGORIES, ONE-CYCLES ON CUBIC FOURFOLDS, AND THE BEAUVILLE–VOISIN FILTRATION, Étale Steenrod operations and the Artin–Tate pairing, The Fourier Transform for Certain HyperKähler Fourfolds, Mukai flops and Plücker-type formulas for hyper-Kähler manifolds, Implicitization of tensor product surfaces via virtual projective resolutions, Vafa-Witten invariants for projective surfaces I: stable case, On rational fixed points of finite group actions on the affine space, On the explicit calculation of Hirzebruch–Milnor classes of certain low dimensional hyperplane arrangements and some combinatorics, Intersection of a correspondence with a graph of Frobenius, Characteristic class and the 𝜖-factor of an étale sheaf, Reduced invariants from cuspidal maps, Toric degenerations and symplectic geometry of smooth projective varieties, Tautological relations via 𝑟-spin structures, Normal hyperplane sections of normal schemes in mixed characteristic, On the Euler characteristic of a relative hypersurface, Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic — A remark to a paper of Dinh-Oguiso-Zhang, A numerical toolkit for multiprojective varieties, Degeneracy loci, virtual cycles and nested Hilbert schemes II, On Schubert’s Problem of Characteristics, Motivic Steenrod operations in characteristicp, Why should the Littlewood–Richardson Rule be true?, Algebraic stability of meromorphic maps descended from Thurston’s pullback maps, Computing certain Gromov-Witten invariants of the crepant resolution of ℙ(1, 3, 4, 4), On the Riemann-Roch formula without projective hypotheses, A Severi type theorem for surfaces in $\mathbb {P}^6$, Relative Equivariant Motives and Modules, ON THE POSITION OF NODES OF PLANE CURVES, Non-abelian vortices on $\mathbb {CP}^{1}$CP1 and Grassmannians, The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras, Obstructions to the existence of compact Clifford–Klein forms for tangential symmetric spaces, Mirković–Vilonen basis in type 𝐴₁, Maximal Chow constant and cohomologically constant fibrations, On Abel-Jacobi maps of moduli of parabolic bundles over a curve, ISOMORPHISMS UP TO BOUNDED TORSION BETWEEN RELATIVE -GROUPS AND CHOW GROUPS WITH MODULUS, The degeneration formula for logarithmic expanded degenerations, A Construction of Chern Classes of Parabolic Vector Bundles, Kummer surfaces and the computation of the Picard group, THE KATZ–KLEMM–VAFA CONJECTURE FOR SURFACES, The strange duality conjecture for generic curves, Motives of hypersurfaces of very small degree, Riemann--Roch theorem for operations in cohomology of algebraic varieties, Giambelli formulae for the equivariant quantum cohomology of the Grassmannian, On the branch curve of a general projection of a surface to a plane, The Integral Chow Ring of the Stack of at Most 1-Nodal Rational Curves, 𝔸1-contractibility of affine modifications, Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings, Towards the degree of the PGL(4)-orbit of a cubic surface, Effective bounds on the dimensions of Jacobians covering abelian varieties, Fixed point theorems involving numerical invariants, Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles, Topological string theory and integrable structures, Diagonalisable $p$-groups cannot fix exactly one point on projective varieties, Euclidean Distance Degree of the Multiview Variety, Descendant log Gromov-Witten invariants for toric varieties and tropical curves, On the cohomology of surfaces with $p_g = q = 2$ and maximal Albanese dimension, Hasse diagrams and motives of projective homogeneous varieties, Group actions, divisors, and plane curves, A correction to the paper “On curves with split Jacobians”, GENERAL HYPERPLANE SECTIONS OF THREEFOLDS IN POSITIVE CHARACTERISTIC, BETTI NUMBER ESTIMATES IN -ADIC COHOMOLOGY, Degenerations of surface scrolls and the Gromov-Witten invariants of Grassmannians, Extremal higher codimension cycles of the space of complete conics, Segre class computation and practical applications, Residual intersections are Koszul–Fitting ideals, Stably irrational hypersurfaces of small slopes, Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions, On relations among 1-cycles on cubic hypersurfaces, Vector valued formal Fourier-Jacobi series, Parallel transport for vector bundles on 𝑝-adic varieties, Distinguished cycles on varieties with motive of abelian type and the Section Property, A flag variety for the Delta Conjecture, Effective cycles on the symmetric product of a curve, I: the diagonal cone, Solution to a non-Archimedean Monge-Ampère equation, A Poisson formula for the sparse resultant, On a notion of speciality of linear systems in $\mathbb {P}^n$, The bounded height conjecture for semiabelian varieties, Linear recurrence sequences and the duality defect conjecture, Rigid-analytic varieties with projective reduction violating Hodge symmetry, Bivariant derived algebraic cobordism, Quantum reconstruction for Fano bundles on projective space, Hitchin fibrations, abelian surfaces, and the P=W conjecture, Chow rings of stacks of prestable curves I, Splitting vector bundles outside the stable range and 𝔸¹-homotopy sheaves of punctured affine spaces, Extremal higher codimension cycles on moduli spaces of curves, Relative Donaldson-Thomas theory for Calabi-Yau 4-folds, Quarto-quartic birational maps of ℙ3(ℂ), THE BOREL CHARACTER, Cartan Covers and Doubling Bernstein-Type Inequalities on Analytic Subsets of $$\mathbb {C}^2$$, Complex Links and Hilbert–Samuel Multiplicities, Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory, Quantitative sheaf theory, Lagrangian geometry of matroids, Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties, Integral Fourier transforms and the integral Hodge conjecture for one-cycles on abelian varieties, Counting sheaves on Calabi-Yau 4-folds. I, The étale open topology over the fraction field of a Henselian local domain, Some families of big and stable bundles on \(K3\) surfaces and on their Hilbert schemes of points, Fundamental Factorization of a GLSM Part I: Construction, Smooth Compactifications of the Abel-Jacobi Section, K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces, Cubic fourfolds, Kuznetsov components, and Chow motives, The large-period limit for equations of discrete turbulence, Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes, A Chabauty-Coleman bound for surfaces, Conormal spaces and Whitney stratifications, Localizing virtual cycles for Donaldson-Thomas invariants of Calabi-Yau 4-folds, Existence of embeddings of smooth varieties into linear algebraic groups, Construct holomorphic invariants in Čech cohomology by a combinatorial formula, On a conjecture about Higgs bundles and some inequalities, Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces, Orbifold Chern classes inequalities and applications, The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus, Chow groups of quadrics in characteristic two, Curvature of the base manifold of a Monge-Ampère fibration and its existence, Gromov–Witten theory of complete intersections via nodal invariants, On a sharp lower bound for the Tjurina number of zero-dimensional complete intersections, On the Bauer–Furuta and Seiberg–Witten invariants of families of 4‐manifolds, On the Milnor number of non‐isolated singularities of holomorphic foliations and its topological invariance, Uniform bounds for rational points on hyperelliptic fibrations, Compatibility of weak approximation for zero-cycles on products of varieties, Flat families of point schemes for connected graded algebras, \(K\)-theory and \(G\)-theory of derived algebraic stacks, Families of commuting automorphisms, and a characterization of the affine space, Refined unramified cohomology of schemes, Irreducible contact curves via graph stratification, Tautological classes of matroids, A survey of Riemann-Roch-type theorems, Rational 𝜃-parallelogram envelopes via 𝜃-congruent elliptic curves, Chow rings of stacks of prestable curves. II, The Log Product Formula in Quantum K-theory, New slope inequalities for families of complete intersections, \(K\)-rings of wonderful varieties and matroids, Deligne-Riemann-Roch and intersection bundles, Rational points on generic marked hypersurfaces, On Hodge-Riemann cohomology classes, Self-similar groups and holomorphic dynamics: renormalization, integrability, and spectrum, Logarithmic Gromov-Witten theory and double ramification cycles, The Noether–Lefschetz theorem in arbitrary characteristic, Generalized Springer correspondence for $\mathbf{Z}/m$-graded Lie algebras, Prelog Chow rings and degenerations, On the integral Tate conjecture for the product of a curve and a \(CH_0\)-trivial surface over a finite field, Motivic classes of degeneracy loci and pointed Brill‐Noether varieties, Completions of affine spaces into Mori fiber spaces with non‐rational fibers, Algebraic reduced genus one Gromov–Witten invariants for complete intersections in projective spaces, Part 2, Iterated multiple points I: Equations and pathologies, On the Brauer group of a generic Godeaux surface, Anticyclotomic Euler systems for unitary groups, Essence of independence: Hodge theory of matroids since June Huh, The movable cone of Calabi-Yau threefolds in ruled Fano manifolds, Logarithmic cotangent bundles, Chern‐Mather classes, and the Huh‐Sturmfels involution conjecture, Maximal disjoint Schubert cycles in rational homogeneous varieties, A note on polarized varieties with high nef value, On the structure of the algebra generated by the rational equivalence classes of Brill-Noether loci in the Chow ring of the moduli space of semistable bundles on elliptic curve, Finiteness criteria and uniformity of integral sections in some families of abelian varieties, Regularizations of pseudo-automorphisms with positive algebraic entropy, Filtrations of numerically flat Higgs bundles and curve semistable Higgs bundles on Calabi-Yau varieties, Fano fourfolds having a prime divisor of Picard number 1, Conics meeting eight lines over perfect fields, GYSIN TRIANGLES IN THE CATEGORY OF MOTIFS WITH MODULUS, ZERO-CYCLES ON NORMAL PROJECTIVE VARIETIES, THE LOCAL-ORBIFOLD CORRESPONDENCE FOR SIMPLE NORMAL CROSSING PAIRS, Hodge-Riemann bilinear relations for Schur classes of ample vector bundles, Equivariant Landau-Ginzburg mirror symmetry, The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane, On the global determinant method, Global pluripotential theory over a trivially valued field, Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces, On the birational rigidity of a series of multidimensional Fano varieties, Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for \(PGL\)., Symplectic topology on subcritical manifolds, On the fibration method for zero-cycles and rational points, Complex varieties with infinite Chow groups modulo 2, The Euclidean distance degree of an algebraic variety, Multiplicity estimates: a Morse-theoretic approach, Cubic threefolds, Fano surfaces and the monodromy of the Gauss map, Motives of quadric bundles, Eigenschemes and the Jordan canonical form, When are multidegrees positive?, When are multidegrees positive?, Probabilistic Saturations and Alt’s Problem, Intersection theory of nefb-divisor classes, Suslin homology via cycles with modulus and applications, Inflectionary Invariants for Isolated Complete Intersection Curve Singularities, Small bandwidth ℂ*-actions and birational geometry, The integral Chow ring of , for odd, The Valabrega–Valla module of monomial ideals, On some invariants of cubic fourfolds, Equivalent birational embedding. IV: Reduced varieties, Categorical Torelli theorems: results and open problems, Motives of moduli spaces of bundles on curves via variation of stability and flips, Equivariant Chow-Witt groups and moduli stacks of elliptic curves, Higher Siegel-Weil formula for unitary groups: the non-singular terms, Families of rational curves on holomorphic symplectic varieties and applications to 0-cycles, Motivic invariants of birational maps, Partition and analytic rank are equivalent over large fields, Syzygies of curves in products of projective spaces, Linear optimization on varieties and Chern-Mather classes, Differential codes on higher dimensional varieties via Grothendieck's residue symbol, Virtual Riemann-Roch theorems for almost perfect obstruction theories, Degenerating products of flag varieties and applications to the Breuil-Mézard conjecture, Enumeration of rational contact curves via torus actions, Multidegrees, prime ideals, and non-standard gradings, Representations on the cohomology of \(\overline{\mathcal{M}}_{0,n}\), Trace maps in motivic homotopy and local terms, On the integral Hodge conjecture for real abelian threefolds, An \({\mathcal{O}} \)-acyclic variety of even index. With an Appendix by Olivier Wittenberg, The uniqueness theorem for Gysin coherent characteristic classes of singular spaces, Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials, Marked relative invariants and GW/PT correspondences, Abelianization and quantum Lefschetz for orbifold quasimap \(I\)-functions, Splitting of Gromov–Witten invariants with toric gluing strata, The isomorphism problem for cominuscule Schubert varieties, Toward cohomology rings of intersections of Peterson varieties and Richardson varieties, A non-standard Bezout theorem for curves, Convexity of multiplicities of filtrations on local rings