scientific article; zbMATH DE number 3322751

zbMath0203.23301MaRDI QIDQ5602063

Alexander Grothendieck, Jean A. Dieudonné

Publication date: 1971

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Related Items

Symmetry on zero and idempotents, The first de Rham cohomology group and Dieudonné modules, The Lefschetz-Riemann-Roch formula, Fibrés vectoriels sur un polydisque ultramétrique, Fibres formelles d'un anneau local noethérien, Sous-groupes algébriques de rang maximum du groupe de Cremona, A set-theoretic proof of the representation of MV-algebras by sheaves, Topology of closure systems in algebraic lattices, The connectedness of degeneracy loci in positive characteristic, Geometry of elliptic normal curves of degree 6, Reconstruction of a surface from the category of reflexive sheaves, Central algebraic geometry and seminormality, The tensor embedding for a Grothendieck cosmos, Lambek functional representation of generalized symmetric semirings, The behavior of essential dimension under specialization. II, On $T_1$-reflection of topological spaces, Relative perfect complexes, On Liu morphisms in non-Archimedean geometry, A Nobile-like theorem for jet schemes of hypersurfaces, Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces, Unnamed Item, Around Prüfer Extensions of Rings, Height reduction for local uniformization of varieties and non-Archimedean spaces, Adelic Divisors on Arithmetic Varieties, Unnamed Item, Henselization of a Ring with Respect to an Ideal, Unnamed Item, Unnamed Item, Complete Ideals and Monoidal Transforms, Vector bundles on p-adic curves and parallel transport, Central Separable Algebras with Purely Inseparable Splitting Rings of Exponent One, Deforming Cohomology Classes, Correction to: ``Regular differentials and equidimensional scheme-maps, A Functor to Ringed Spaces, Formal sections and de Rham cohomology of semistable Abelian varieties., Unnamed Item, Compactification of a family of quartic del Pezzo surfaces, Invariants of a quadratic form attached to a tame covering of schemes., Unnamed Item, Homogeneous algebraic distributions, Unnamed Item, A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof, Compactification of a family of quartic del Pezzo surfaces, Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications, Unnamed Item, Almost GCD domains of finite \(t\)-character., Unnamed Item, Unnamed Item, Lifting of schemes and Monsky-Washnitzer algebras: equivalence and full faithfulness theorems, Lifting of schemes and Monsky-Washnitzer algebras: equivalence and full faithfulness theorems, Strong generators in 𝐷_{𝑝𝑒𝑟𝑓}(𝑋) for schemes with a separator, Unnamed Item, A new approach to the patch and flat topologies on a spectral space with applications, The logarithmic Picard group and its tropicalization, The resolution property holds away from codimension three, Quasihomeomorphisms and Skula spaces, T0-reflection and some separation axioms in PRETOP, TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON -ADIQUE, A uniform treatment of Grothendieck's localization problem, Composition Algebras Over Algebraic Curves of Genus Zero, New foundations for geometry Two non-additive languages for arithmetical geometry, Unnamed Item, Unnamed Item, Unnamed Item, The moduli of sections has a canonical obstruction theory, F-regular and F-pure rings vs. log terminal and log canonical singularities, A categorical 𝔰𝔩₂ action on some moduli spaces of sheaves, Unnamed Item, On the category of ordered pre-topological spaces, Unnamed Item, Construction of 𝑡-structures and equivalences of derived categories, Abstract Generality, Simplicity, Forgetting, and Discovery, Unnamed Item, Unnamed Item, A symplectic look at the Fargues–Fontaine curve, Unnamed Item, Reflexive pull-backs and base extension, KUMMER COVERINGS AND SPECIALISATION, Grothendieck–Serre in the quasi-split unramified case, Genuinely ramified maps and stable vector bundles, On the canonical, fpqc, and finite topologies on affine schemes. The state of the art, Local dimension theory of tensor products of algebras over a ring, Unnamed Item, Generic local deformation rings when, The spectrum of derived Mackey functors, Unnamed Item, Unnamed Item, Catégories structurées, Sober spaces, Nearby cycles of automorphic étale sheaves, The classical Artin approximation theorems, Adic reduction to the diagonal and a relation between cofiniteness and derived completion, On the projectivity of proper normal curves over valuation domains, Le centre des algèbres de coordonnées des groupes quantiques aux racines $p\sp \alpha$-ièmes de l'unité, Unnamed Item, THE LARGE STRUCTURES OF GROTHENDIECK FOUNDED ON FINITE-ORDER ARITHMETIC, Balanced pairs, cotorsion triplets and quiver representations, A generalisation of the Abhyankar Jung theorem to associated graded rings of valuations, Sequences of powers with second differences equal to two and hyperbolicity, (t, ℓ)-STABILITY AND COHERENT SYSTEMS, Unnamed Item, On the \'etale homotopy type of higher stacks, Local homology and cohomology on schemes, Unnamed Item, Gysin maps, duality, and Schubert classes, Unnamed Item, Wronski algebra systems on families of singular curves, ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini, Unnamed Item, 𝐹-divided sheaves trivialized by dominant maps are essentially finite, The stable category of Gorenstein flat sheaves on a noetherian scheme, Differential forms in positive characteristic avoiding resolution of singularities, Unnamed Item, Unnamed Item, The Kodaira dimension and singularities of moduli of stable sheaves on some elliptic surfaces, Quasi-Prüfer Extensions of Rings, Auslander-Reiten duality for Grothendieck abelian categories, Cohomology of the infinitesimal site, Formal groups arising from algebraic varieties, La $R$-équivalence sur les tores, The Grothendieck-Riemann-Roch theorem for group scheme actions, Stable modification of relative curves, Variétés de Prym et jacobiennes intermédiaires, Some applications of the ultrafilter topology on spaces of valuation domains, Part I, Excellence in prime characteristic, The -cohomology in the semistable case, SUPERORBITS, Théorie différentielle du contact maximal en inégale caractéristique, Unnamed Item, Admissible pairs vs Gieseker-Maruyama, Multiparameter perturbation theory of matrices and linear operators, Polar classes of singular varieties, Unnamed Item, The inertia operator on the motivic Hall algebra, On injective endomorphisms of symbolic schemes, On filtration of Clifford 𝒜-algebras and localization of 𝒜-modules, Formal deformations of algebraic spaces and generalizations of the motivic Igusa-zeta function, On higher direct images of convergent isocrystals, Multisorted modules and their model theory, An overview of complex fractal dimensions: from fractal strings to fractal drums, and back, Embedded desingularization for arithmetic surfaces – toward a parallel implementation, ${\cal D}$-modules arithmétiques. II: Descente par Frobenius, Controllability and observability of linear delay systems: an algebraic approach, Solution to a non-Archimedean Monge-Ampère equation, Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques, Translation-invariant line bundles on linear algebraic groups, Singularities in the Nilpotent Scheme of a Classical Group, Positivity of Hodge bundles of abelian varieties over some function fields, Fundamental Groups and Path Lifting for Algebraic Varieties, Three chapters on Cremona groups, Spanning the isogeny class of a power of an elliptic curve, Normally Flat Deformations, Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve, Deformations of Formal Embeddings of Schemes, Subrings of a power set and clopen topologies, Projectivité des schémas en courbes sur un anneau de valuation discrète, A model of quotient spaces, Extending torsors on the punctured \(\operatorname{Spec}(A_{\operatorname{inf}})\), Heights of zero-dimensional subschemes of projective space., Deformations of overconvergent isocrystals on the projective line, On strong going-between, going-down, and their universalizations. II, Bousfield localization on formal schemes, On trigonal non-Gorenstein curves with zero Maroni invariant, Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras, Local and global theory of the moduli of polarized Calabi-Yau manifolds, Absolutely integral homomorphisms, Gorenstein ring of sections and complete intersections in codimension two, On derived categories of differential complexes, Word maps have large image., A finiteness result for the compactly supported cohomology of rigid analytic varieties. II., Exponentiable Grothendieck categories in flat algebraic geometry, On coherent Hermitian Witt groups, Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds, Amplitudes in YM and GR as a minimal model and recursive characterization, Sheaves of abelian \(l\)-groups, Inseparable local uniformization, Spreading envelope of flat morphisms, Ekedahl-Oort and Newton strata for Shimura varieties of PEL type, Geometry on totally separably closed schemes, Künneth formulae for the sheaves of vanishing cycles in etale cohomology, Representability in supergeometry, \(p\)-adic \(L\)-functions and the coniveau filtration on Chow groups. With an appendix by Brian Conrad., Moduli spaces of parabolic fibres and conformal blocks, An arithmetic site for the rings of integers of algebraic number fields, Ascending the divided and going-down properties by absolute flatness, On subfiniteness of graded linear series, The \(p\)-radical closure of local Noetherian rings, On the Garden of Eden theorem for endomorphisms of symbolic algebraic varieties, The universal family of semistable \(p\)-adic Galois representations, Phantom covering ideals in categories without enough projective morphisms, On sofic groups, Kaplansky's conjectures, and endomorphisms of pro-algebraic groups, Dualizable and semi-flat objects in abstract module categories, Injective tree representations, Skeleta in non-Archimedean and tropical geometry, On degenerate sections of vector bundles, Construction of symplectic vector bundles on projective space \(\mathbb{P}^3\), Descent for coherent sheaves along formal/open coverings, The index of an algebraic variety, Rational points in their fiber: complements to a theorem of Poonen, Varieties without boundary in rigid analytic geometry, Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry, Galois groups and complete domains, Twisted multi-homogeneous coordinate rings, Drinfeld moduli schemes and infinite Grassmannians, Étale endomorphisms of smooth affine surfaces., Unstable operations on \(K\)-theory for singular schemes, Construction of triangulated categories of motives using the localization property, Nagata's compactification theorem for normal toric varieties over a valuation ring of rank one, Abelian lattice-ordered groups and a characterization of the maximal spectrum of a Prüfer domain., Higher deformations of Lie algebra representations I., Lengths and multiplicities of integrally closed modules over a two-dimensional regular local ring, Isocrystals associated to arithmetic jet spaces of abelian schemes, The coarse moduli space of a flat analytic groupoid, On the notions of indiscernibility and indeterminacy in the light of the Galois-Grothendieck theory, Characterizing Serre quotients with no section functor and applications to coherent sheaves, Fully Hodge-Newton decomposable Shimura varieties, Semi-stable models of modular curves \(X_0(p^2)\) and some arithmetic applications, Local triviality for \(G\)-torsors, Smooth solutions to the complex Plateau problem, Derivations and rational powers of ideals, Characteristic polyhedra of singularities without completion. II, Milnor-Witt cycle modules, Open embeddings and pseudoflat epimorphisms, Embedding divisorial schemes into smooth ones, Differentials on the arc space, Category of \(C\)-motives over finite fields, Transformation de Mellin-Leopoldt des fonctions elliptiques. (Mellin- Leopoldt transform of elliptic functions), Dedekind-like behavior of rings with 2-generated ideals, Global branches and parametrization, Symmetric power functoriality for holomorphic modular forms, The relative form of Gersten's conjecture over a discrete valuation ring: The smooth case, Cokernels of restriction maps and subgroups of norm one, with applications to quadratic Galois coverings, Weak normalization in graded extensions and weak subintegral closure of ideals, Invariants of finite Hopf algebras., Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities, Multiplicities and mixed multiplicities of arbitrary filtrations, On the degree-1 Abel map for nodal curves, Uniform matrix product states from an algebraic geometer's point of view, Double solids, On a geometrically unibranch couples, When is a reductive group scheme linear?, A theorem of Rao for families of space curves, Minimal sets and orbit spaces for group actions on local dendrites, Čech cohomology and the capitulation kernel, Tame-wild dichotomy for commutative Noetherian rings -- a survey, Higher algebraic \(K\)-theory of group actions with finite stabilizers, Algebraically flat or projective algebras, On the cohomology of tori over local fields with perfect residue field, The hull-kernel topology on prime filters in residuated lattices, Approximation of versal deformations., Limits of rank 4 Azumaya algebras and applications to desingularization., On the prime ideal structure of tensor products of algebras, On the number of points of algebraic sets over finite fields, Direct limits in the heart of a t-structure: the case of a torsion pair, Smooth Hilbert schemes: their classification and geometry, Lifting chains of prime ideals, Equivariant class group. I: Finite generation of the Picard and the class groups of an invariant subring., Nash blowups in prime characteristic, A topological version of Hilbert's Nullstellensatz, The strong ultrafilter topology on spaces of ideals, Algebraic connections vs. algebraic \(\mathcal D\)-modules: inverse and direct images, Sur les espaces analytiques quasi-compacts de dimension 1 sur un corps valué complet ultramétrique. (On quasi-compact 1-dimensional analytic spaces over a complete ultrametric valued field), Rationalité et valeurs de fonctions L en cohomologie cristalline. (Rationality and values of L-functions in crystalline cohomology), Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base schemes, On d-folds whose canonical bundle is not numerically effective, according to Mori and Kawamata, A characterization of semisimple plane polynomial automorphisms, Abstract Riemann surfaces of integral domains and spectral spaces, Line-bundle-valued ternary quadratic forms over schemes, Conductor, discriminant, and the Noether formula of arithmetic surfaces, A graded Gersten-Witt complex for schemes with a dualizing complex and the Chow group, Factorization of complete ideals, On functionally Hausdorff spaces, Correspondance de Langlands géométrique pour les corps de fonctions. (Geometric Langlands correspondence for function fields), Codisjunctors and singular epimorphisms in the category of commutative rings, Differential schemes and premodels of differential fields, A proper base change theorem for non-torsion sheaves in étale cohomology, Equivariant localization of \(\overline D\)-modules on the flag variety of the symplectic group of degree 4., Compactifications of smooth families and of moduli spaces of polarized manifolds, Relative ampleness in rigid geometry, Categories parametrized by schemes and representation theory in complex rank, Degenerate flag varieties of type A: Frobenius splitting and BW theorem, Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties, Universal mapping properties of some pseudovaluation domains and related quasilocal domains, An avoidance principle with an application to the asymptotic behaviour of graded local cohomology, Compactifying the Picard scheme, Tensor functors between categories of quasi-coherent sheaves, Very strong approximation for certain algebraic varieties, Orbits in higher singular subvarieties of a hypersurface of a form, Limite inductive plate de P-anneaux, Multiplicity sequences and the modules of higher differentials, Deformation of formal schemes through local homology, Rational points of bounded height and the Weil restriction, Un modello riducibile per somma diretta d'un dato A-modulo localmente libero, con \(A\in P.E\), Smooth components of Springer fibers, A functorial formalism for quasi-coherent sheaves on a geometric stack, Quiver flag varieties and multigraded linear series, Hasse diagrams and orbit class spaces, Complexes with homology of finite length and Frobenius functors, Classifying singularities up to analytic extensions of scalars is smooth, Open locally semi-algebraic maps, On the Krull and valuative dimension of \(D+XD_ S[X\) domains], Direct images. I: Rigid analytic spaces and direct images, Three notes on the order of ideals defining hypersurfaces, Motivic integral of \(K3\) surfaces over a non-Archimedean field, On Hausdorff completions of commutative rings in rigid geometry, A remark on the generalized Hodge conjecture, Singular superspaces, Graded integral closures, On the classifying space of a linear algebraic group. I., Foliations in deformation spaces of local \(G\)-shtukas, A moduli scheme of embedded curve singularities, The derived category of quasi-coherent sheaves and axiomatic stable homotopy, Serial compact spaces and the maximal spectrum of a Bézout domain, Noetherian approximation of algebraic spaces and stacks, Arithmetic Seshadri fuction and Arakelov geometry, Tame stacks in positive characteristic, A local homology theory for linearly compact modules, Big line bundles over arithmetic varieties, Basic deformation theory of smooth formal schemes, Desingularization of quasi-excellent schemes in characteristic zero, Totally t-closed rings, Moduli spaces for principal bundles in arbitrary characteristic, Étale extensions with finitely many subextensions, Quasihomeomorphisms and meet-semilattice equivalences of generalized topological spaces, Cartesian modules over representations of small categories, Prüfer algebraic spaces, Non-commutative deformations and quasi-coherent modules, A few examples of elliptic threefolds with trivial canonical bundle, Homotopical algebraic geometry. I: Topos theory, Galois theory of \(B^+_{\text{dR}}\) in the imperfect residue field case, Étale dévissage, descent and pushouts of stacks, Submersion et descente. (Submersion and descent), Seminormality and cohomology of projective varieties, The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions, Total reflections, partial products, and hereditary factorizations, The arc space of the Grassmannian, Pure Anderson motives over finite fields, Flat epimorphisms and a generalized Kaplansky ideal transform, Local structure theorems for smooth maps of formal schemes, Toric orbifolds associated to Cartan matrices, Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces, The isogeny class of a CM-type abelian variety is defined over a finite extension of the prime field, Going up along absolutely flat morphisms, Locally finitely presented categories of sheaves, Sulla rappresentazione di certi A-moduli, Complete intersections and symmetric algebras, Analogues of a theorem of Cohen for overrings, Some sufficient conditions for the gonality of a smooth curve, Universal families of extensions, Universally going-down homomorphisms of commutative rings, On the structure presheaf of a differential ring, Local-to-global extensions of representations of fundamental groups, Extending coherent and quasi-coherent sheaves on generically closed spaces, Normal bundle to subvarieties in quadrics. II, Subcanonical curves and complete intersections in projective 3-space, Principal homogeneous spaces for arbitrary Hopf algebras, Fibré déterminant et courbes relatives, Finite subgroups of algebraic groups, Logic in Category Theory, The rank of hyperelliptic Jacobians in families of quadratic twists, Local Singularities Such that all Deformations are Tangentially Flat, Additive group scheme actions on integral schemes defined over discrete valuation rings, On the deformation of Artin-Schreier to Kummer, Unnamed Item, Unnamed Item, Théorème de Riemann-Roch par désingularisation, Quivers and moduli spaces of pointed curves of genus zero, Groupes de Picard et problèmes de Skolem. II, Cdh descent, cdarc descent, and Milnor excision, Non-reduced fibers of an arithmetic scheme, Galois structure of de Rham cohomology, The density of rational and integral points on algebraic varieties, \(D\)-modules and finite monodromy, Counting multiplicities in a hypersurface over a finite field, Unnamed Item, The norm map and the capitulation kernel, Unnamed Item, The fundamental group of the orbit space, Differential calculus on \(\mathbb{N}\)-graded manifolds, Counting Divisors with Prescribed Singularities, Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes, Le problème de Brill-Noether pour les idéaux de ${P}\sp 2$, Quadratic Spaces Over Laurent Extensions of Dedekind Domains, Deformations of affine varieties and the Deligne crossed groupoid, Pull-back morphisms for reflexive differential forms, Complete local factorial rings which are not Cohen-Macaulay in characteristic $p$, Vector bundles on proper toric 3-folds and certain other schemes, Sur les anneaux universellement japonais, Unnamed Item, Contact maximal en caractéristique positive, Wild ramification and the cotangent bundle, Courbes passant par $m$ points généraux de $P\sp 3$, On the $p$ adic nearby cycles of log smooth families, Bivariance, Grothendieck duality and Hochschild homology. II: The fundamental class of a flat scheme-map, Théorèmes de Lefschetz en cohomologie des faisceaux cohérents et en cohomologie étale. Application au groupe fondamental, Sur l'anneau des fonctions de Nash globales, On global deformation quantization in the algebraic case, Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay, On Purity of Inertia, Cohomological descent of rigid cohomology for étale coverings, Classification of the Tor-Algebras of Codimension Four Almost Complete Intersections, Combinatorial integers \(\binom{m,n}{j}\) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds, Conditions imposed by tacnodes and cusps, Higher Order Singularities of Morphisms to Projective Space, Functorial structure of units in a tensor product, Effectivity of Brauer-Manin obstructions, Submersions and effective descent of étale morphisms, Category-valued sheaves, Unnamed Item, Classifying finite localizations of quasicoherent sheaves, Descent for \(K\)-theories, Unnamed Item, Counting rational points on algebraic varieties, A numerical criterion for simultaneous normalization, Unipotent variety in the group compactification., Unnamed Item, Unnamed Item, Simply connected varieties in characteristic, Explicit majorizations of geometric and arithmetic Hilbert-Samuel functions, The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring, Gauss-Manin connections for boundary singularities and isochore deformations, Gap vectors of real projective varieties, Compactifications of the Generalized Jacobian Variety, Sugli ideali frazionari invertibili, The Brauer group of a ringed space, A natural transformation of the Spec functor, An arithmetic count of the lines on a smooth cubic surface, Fondements de la géométrie algébrique moderne, Darstellbarkeitskriterien für analytische Funktoren, $V$-filtrations in positive characteristic and test modules, Unnamed Item, On relative regular sequences, Conditions for the Existence of Contractions in the Category of Algebraic Spaces, An algebraization of vector bundles on compact manifolds, Complexe de de Rham filtré d'une variété singulière, Unnamed Item, Risoluzione di moduli su domini d'integrita noetheriani con proprieta di estensione, Unnamed Item, On a new compactification of moduli of vector bundles on a surface. IV: Nonreduced moduli, Transversalité obtenue par éclatements permis, Unnamed Item, Dagger closure and solid closure in graded dimension two, Generalized ring of norms and generalized (φ,Γ)(φ,Γ)-modules, On chain morphisms of commutative rings, Un problème de descente, Unnamed Item, The constructible topology on spaces of valuation domains, Unnamed Item, When is length a length function?, The compactified Picard scheme of the compactified Jacobian, Deformation quantization in algebraic geometry, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Bertini theorems for ideals linked to a given ideal, A finiteness theorem for elliptic Calabi-Yau threefolds, Affine analog of the proper base change theorem, The Greenberg functor revisited, An arithmetic Hurwitz formula, Pointwise minimal extensions, Construction of a del Pezzo surface with maximal Galois action on its Picard group, On the equations which are needed to define a closed subscheme of the projective space, On the perfection of schemes, Equivalence and finite determinacy of mappings, The behaviour of \(\text{Ext}_ A(R,A)\) through a morphism, Decomposable functors and the exponential principle, Tor and torsion on a complete intersection, Finite spaces and schemes, Néron models, Semi-factorial nodal curves and Néron models of Jacobians, On the group of units and the Picard group of a product, Functional representations of lattice-ordered semirings, Kommutative, F-linear kompakte Ringe, Local cohomology and base change, Spectral reflections of topological spaces, The almost product structure of Newton strata in the deformation space of a Barsotti-Tate group with crystalline Tate tensors, Algebraic cycles and algebraic K-theory, On the closed image of a rational map and the implicitization problem., Seminormality and quasinormality of group rings, Topologically defined classes of commutative rings, Sulla seminormalità delle superficie algebriche, Composition of oriented binary quadratic form-classes over commutative rings, Algebraic and algebro-geometric interpretations of Weitzenböck's problem, Vanishing of stable homology with respect to a semidualizing module, Résolution de Nash des points doubles rationnels, A Jacobian criterion for separability, On certain distinguished spectral sets, Closure along an admissible subset, seminormality and \(t\)-closedness., On the quasi-affine scheme of a differential ring, The ideal resolution for generic 3-fat points in \(\mathbb P^2\)., Random generation in semisimple algebraic groups over local fields., On the conormal bundle of the determinantal variety, A-spectral spaces., On Kähler's integral differential forms of arithmetic function fields, Motivic integration on smooth rigid varieties and invariants of degenerations, Derivativewise unramified infinite integral extensions, Flat polynomial endomorphisms, On the deformations of Witt groups to tori. II, Generalized local cohomology and quasicoherent sheaves, Cohen-Macaulayness of modules of invariants for \(SL_ 2\), Higher \(K\)-theory of the category of weakly equivariant \({\mathcal D}\)- modules, Zero cycles in \(\mathbb{P}^n\), Ranks of indecomposable modules over one-dimensional rings. II, On the $p$-supports of a holonomic $\mathcal {D}$-module, Cohen-Macaulay, Gorenstein, complete intersection and regular defect for the tensor product of algebras, The prime spaces as spectral spaces, Singularities of ordinary deformation rings, Catenarity of formal power series rings over a pullback, Rosenberg's reconstruction theorem, The units-Picard complex and the Brauer group of a product, Rings of formal power series with homeomorphic prime spectra, One dimensional local rings of maximal and almost maximal length, Abelian étale coverings of generic curves and ordinarity, On the conductor formula of Bloch, Vertex algebras and the formal loop space, Progress in free associative algebras, Modifications des espaces complexes. I, On Tannakian duality over valuation rings, Analytically trivial families of local rings, Ideali di definizione e morfismi di schemi henseliani, The geometry of algebraic groups, On the separable and algebraic closedness of a Hensel couple in its completion, A criterion for a point to be geometrically unibranched, r-special subschemes and an argument of Severi's. - Appendix by Dan Laksov, Acceptable rings and homomorphic images of Gorenstein rings, Cohen-Macaulay quotients of polynomial rings, Affine Quotientenschemata nach affinen, algebraischen Gruppen und induzierte Darstellungen, Cohomology of an affine group scheme over a Hensel ring, The cohomology of Boolean rings, Linear \(G_a\) actions on affine spaces and associated rings of invariants, On the projectively almost-factorial varieties, Reduction of projective modulus in ring extensions, Weil-étale cohomology and zeta-values of proper regular arithmetic schemes, Reflexive modules, Deformations of Picard sheaves and moduli of pairs, Bases for coordinate rings of conjugacy classes of nilpotent matrices, Homeomorphism versus isomorphism for varieties, Le lieu singulier des variétés de Schubert. (The singular locus of Schubert varieties), The bigger Brauer group is really big., Local rings of finite Cohen-Macaulay type, Discrete valuation rings and modules of differentials, Some amplifications and a correction of Iarrobino's construction of local parameters of \(\text{Hilb}_{P_k^2}^n\), F-theory and linear sigma models, Complexity and Tor on a complete intersection, Necessary and sufficient conditions for the Cohen-Macaulayness of form rings, Irreducible components of rigid spaces, The algebraic fundamental group of a curve singularity, Sur le schéma de Hilbert des courbes gauches de degré \(d\) et genre \(g=(d-3)(d-4)/2\). (On the Hilbert scheme of space curves of degree \(d\) and genus \(g=(d-3)(d-4)/2\)), Differentially homogeneous algebras, Etaleness and normality, Divisors on varieties over valuation domains., A new look at smoothness., Continuous vector bundles over topological algebras. II, Universal property of the Kaplansky ideal transform and affineness of open subsets