The perverse filtration and the Lefschetz hyperplane theorem, II-Reference-Cited by-同舟云学术

The perverse filtration and the Lefschetz hyperplane theorem, II

Published:2011-05-16 Issue:2 Volume:21 Page:305-345
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

de Cataldo Mark

Abstract

The perverse filtration in cohomology and in cohomology with compact supports is interpreted, in terms of kernels of restriction maps to suitable subvarieties by using the Lefschetz hyperplane theorem and spectral objects. Various mixed-Hodge-theoretic consequences for intersection cohomology and for the decomposition theorem are derived.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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