scientific article

zbMath0536.14011MaRDI QIDQ3320507

Joseph Bernstein, Pierre Deligne, Alexander A. Beilinson

Publication date: 1982

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

zbMATH Keywords

finite characteristicVerdier dualityperverse sheavesintersection homologyhard Lefschetz theoremmiddle perversitypure sheaf of weight w

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

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resolution dimension of recollements of abelian categories, Recollements of stable categories of Gorenstein injective modules, Quivers, Perverse Sheaves, and Quantized Enveloping Algebras, Unnamed Item, Unnamed Item, MASS GROWTH OF OBJECTS AND CATEGORICAL ENTROPY, Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de jacquet et ye, Intersection Homology Betti Numbers, Multiplier ideals, 𝑉-filtration, and spectrum, Unnamed Item, Unnamed Item, Unnamed Item, A short proof of HRS-tilting, The -cohomology in the semistable case, Mixed Perverse Sheaves on Flag Varieties for Coxeter Groups, Ordinary primes in Hilbert modular varieties, Gorenstein algebras and recollements, Intersection Homology and Torus Actions, Canonical Bases of Borcherds-Cartan Type, Unnamed Item, Recent advances in the Langlands Program, Actions of relative Weyl groups I, Constructibilité et modération uniformes en cohomologie étale, On singularities of primitive cohomology classes, The decomposition theorem, perverse sheaves and the topology of algebraic maps, Unnamed Item, The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius, Unnamed Item, Complex Geometry and the Asymptotics of Harish-Chandra Modules for Real Reductive Lie Groups. I, Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves, Unnamed Item, Steenrod operators, the Coulomb branch and the Frobenius twist, Morse Theory, Stratifications and Sheaves, WHEN ARE THERE ENOUGH PROJECTIVE PERVERSE SHEAVES?, Regulators of K1 of Hypergeometric Fibrations, Volumes of hyperbolic manifolds and mixed Tate motives, Unnamed Item, Intersection Homology, Recollements of extriangulated categories, Support $\tau $-tilting modules and recollements, Quiver varieties and finite dimensional representations of quantum affine algebras, On the Rouquier dimension of wrapped Fukaya categories and a conjecture of Orlov, Idempotent completion of extriangulated categories, INTERSECTION COHOMOLOGY OF THE MODULI SPACE OF HIGGS BUNDLES ON A GENUS 2 CURVE, Backström algebras, Relative cluster categories and Higgs categories, Admissible subcategories of del Pezzo surfaces, Yoneda algebras and their singularity categories, Higher Du Bois singularities of hypersurfaces, Perverse sheaves on Riemann surfaces as Milnor sheaves, Nakajima's quiver varieties and triangular bases of rank-2 cluster algebras, Symmetric subcategories, tilting modules, and derived recollements, Perverse filtrations, Chern filtrations, and refined BPS invariants for local \(\mathbb{P}^2\), The category of extensions and a characterisation of \(n\)-exangulated functors, Reconstruction of a surface from the category of reflexive sheaves, Topological invariance of torsion-sensitive intersection homology, \(t\)-structures with Grothendieck hearts via functor categories, Cellular \(\mathbb{A}^1\)-homology and the motivic version of Matsumoto's theorem, Ptolemy diagrams and cotorsion pairs in m-cluster categories of type A, Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor, On the intersection cohomology of the moduli of SLn$\mathrm{SL}_n$‐Higgs bundles on a curve, Study of parity sheaves arising from graded Lie algebras, The left heart and exact hull of an additive regular category, Categorical entropy, (co-)t-structures and ST-triples, INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS, AUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDS, Ample line bundles and generation time, Tensor weight structures and \(t\)-structures on the derived categories of schemes, Hecke Algebra Characters and Immanant Conjectures, Tilting preenvelopes and cotilting precovers in general abelian categories, Perverse monodromic sheaves, The stability manifold of local orbifold elliptic quotients, Topological calculation of local cohomological dimension, Derived categories of hearts on Kuznetsov components, On abelian subcategories of triangulated categories, Recollements induced by left Frobenius pairs, Higher nearby cycles and central sheaves on affine flag varieties, Unipotent nearby cycles and nearby cycles over general bases, Killing weights from the perspective of \(t\)-structures, Cohomological \(\chi\)-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles, Triangular matrix categories. II: Recollements and functorially finite subcategories, An approach to intersection theory on singular varieties using motivic complexes, The affine Grassmannian and the Springer resolution in positive characteristic, Working session: Geometric representation theory. Abstracts from the working session held April 3--9, 2022, \(t\)-structures on stable derivators and Grothendieck hearts, Gluing approximable triangulated categories, Strongly stratifying ideals, Morita contexts and Hochschild homology, Bott-Samelson-Demazure-Hansen varieties for projective homogeneous varieties with nonreduced stabilizers, Combinatorics and Hodge theory, ON MORPHISMS KILLING WEIGHTS AND STABLE HUREWICZ-TYPE THEOREMS, Torsion pairs in finite 2-Calabi-Yau triangulated categories with maximal rigid objects, On the representation type of subcategories of derived categories, Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations, The perverse filtration and the Lefschetz hyperplane theorem, II, Recollements from generalized tilting, Recollements of Gorenstein derived categories, Monodromy of a family of hypersurfaces containing a given subvariety, Proof of the Kurlberg-Rudnick rate conjecture, Mixed Hodge modules, Idempotent completion of triangulated categories, Consequences of a result of N. Katz and G. Laumon concerning trigonometric sums, Exponential sums and \(\ell\)-adic cohomology: A survey., Proof of a conjecture of Frenkel-Gaitsgory-Kazhdan-Vilonen for general linear groups, p-adic étale Tate twists and arithmetic duality☆, The additivity of traces in triangulated categories, Character sheaves on disconnected groups, VIII, Character sheaves on disconnected groups, IX, A class of perverse sheaves on a partial flag manifold, On \(t\)-structures and torsion theories induced by compact objects, Cubic threefolds, Fano surfaces and the monodromy of the Gauss map, Motives of quadric bundles, The notion of dimension in geometry and algebra, Espaces symétriques de Drinfeld et correspondance de Langlands locale, Set-theoretic solutions to the Yang–Baxter equation, skew-braces, and related near-rings, Derived noncommutative schemes, geometric realizations, and finite dimensional algebras, BETTI NUMBER ESTIMATES IN -ADIC COHOMOLOGY, THE CONORMAL TORUS IS A COMPLETE KNOT INVARIANT, Equivariant exceptional collections on smooth toric stacks, Silting Objects, Book Review: Moments, monodromy, and perversity: Diophantine perspective, Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces, Irregular perverse sheaves, Recollements of Singularity Categories and Monomorphism Categories, Central elements in affine modpHecke algebras via perverse -sheaves, Homotopy theory in additive categories with suspensions, Lifting of recollements and gluing of partial silting sets, Vanishing theorems for constructible sheaves on abelian varieties, A RECOLLEMENT APPROACH TO GEIGLE–LENZING WEIGHTED PROJECTIVE VARIETIES, Nearby cycle sheaves for symmetric pairs, A support theorem for the Hitchin fibration: the case of