Weights on cohomology, invariants of singularities, and dual complexes

DOI10.1007/s00208-013-0912-7zbMath1280.14005arXiv1102.4370OpenAlexW2070194614MaRDI QIDQ382315

Jarosław Włodarczyk, Donu Arapura, Parsa Bakhtary

Publication date: 18 November 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4370

zbMATH Keywords

weight filtrationdual complexsingularities of complex algebraic varieties

Mathematics Subject Classification ID

Classical real and complex (co)homology in algebraic geometry (14F25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Topological properties in algebraic geometry (14F45)

Related Items (14)

Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension ⋮ Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces ⋮ Local Cohomology—An Invitation ⋮ Weights on cohomology, invariants of singularities, and dual complexes ⋮ Remarks on degenerations of hyper-Kähler manifolds ⋮ THE KUGA–SATAKE CONSTRUCTION UNDER DEGENERATION ⋮ \(K\)-theory of toric varieties revisited ⋮ On weight truncations in the motivic setting ⋮ Weightless cohomology of algebraic varieties ⋮ Equivariant Hirzebruch class for singular varieties ⋮ L-infinity pairs and applications to singularities ⋮ Tropical curves, graph complexes, and top weight cohomology of ℳ_{ℊ} ⋮ Tropical compactification in log-regular varieties ⋮ Sheaves of 𝐸-infinity algebras and applications to algebraic varieties and singular spaces

Cites Work

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• Boundary complexes and weight filtrations
• Weights on cohomology, invariants of singularities, and dual complexes
• On the cohomology of a simple normal crossings divisor
• On isolated Gorenstein singularities
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
• Real homotopy theory of Kähler manifolds
• Toroidal varieties and the weak factorization theorem
• Weights in the cohomology of toric varieties
• Théorie de Hodge. II. (Hodge theory. II)
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Toroidal geometry and non-archimedean analytic geometry. Application to the homotopy type of certain formal schemes
• Lectures on Resolution of Singularities (AM-166)
• A note on resolution of rational and hypersurface singularities
• THE GEOMETRY OF TORIC VARIETIES
• Complexe de de Rham filtré d'une variété singulière
• Vanishing theorems.
• Torification and factorization of birational maps
• Simple Hironaka resolution in characteristic zero
• Mixed Hodge Structures
• Cohomology of rational forms and a vanishing theorem on toric varieties
• A note on the dual complex of a resolution of singularities
• On Isolated Rational Singularities of Surfaces

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