The perverse filtration and the Lefschetz Hyperplane Theorem

2008/05/29 by Mark Andrea de Cataldo, de Cataldo, Mark Andrea, Luca Migliorini +1
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Reservoir Engineering and Simulation Methods #math.AG

paper · pdf · doi:10.48550/arxiv.0805.4634

Revised version with minor changes. To appear in Annals of Mathematics

arxiv created 2009/01/06 · arxiv updated 2009/12/01

Abstract

We describe the perverse filtration in cohomology using the Lefschetz Hyperplane Theorem.

Related

• The perverse filtration and the Lefschetz hyperplane theorem, II
• Perverse Filtrations via Brylinski-Radon transformations
• The standard filtration on cohomology with compact supports with an appendix on the base change map and the Lefschetz hyperplane theorem
• Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
• The perverse filtration for the Hitchin fibration is locally constant