The perverse filtration and the Lefschetz hyperplane theorem, II

DOI10.1090/S1056-3911-2011-00566-3zbMath1273.14043arXiv1006.2582OpenAlexW2963671633MaRDI QIDQ5388775

Mark Andrea A. De Cataldo

Publication date: 20 April 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2582

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (10)

Perverse Leray filtration and specialisation with applications to the Hitchin morphism ⋮ Frobenius semisimplicity for convolution morphisms ⋮ Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\) ⋮ Combinatorics and topology of proper toric maps ⋮ The Hodge numbers of O'Grady 10 via Ngô strings ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ The perverse filtration and the Lefschetz hyperplane theorem ⋮ Ordinary primes in Hilbert modular varieties ⋮ A Topological Characterization of the Middle Perversity Intersection Complex for Arbitrary Complex Algebraic Varieties ⋮ The decomposition theorem, perverse sheaves and the topology of algebraic maps

Cites Work

• The perverse filtration and the Lefschetz hyperplane theorem
• The Leray spectral sequence is motivic
• Lifting of algebraic cycles and associated homomorphisms in intersection homology.
• Mixed Hodge complexes on algebraic varieties
• The Hodge theory of algebraic maps
• Hodge-theoretic aspects of the Decomposition Theorem
• The decomposition theorem, perverse sheaves and the topology of algebraic maps
• The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem
• Constructible Sheaves
• The Hard Lefschetz Theorem and the topology of semismall maps
• Mixed Hodge modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The perverse filtration and the Lefschetz hyperplane theorem, II