The perverse filtration and the Lefschetz hyperplane theorem, II
Algebraic Geometry
2010-06-15 v1
Abstract
The perverse filtration in cohomology and in cohomology with compact supports is interpreted in terms of kernels of restrictions 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.
Keywords
Cite
@article{arxiv.1006.2582,
title = {The perverse filtration and the Lefschetz hyperplane theorem, II},
author = {Mark Andrea A. de Cataldo},
journal= {arXiv preprint arXiv:1006.2582},
year = {2010}
}
Comments
To appear in JAG. This paper is dedicated to Prakob Monkolchayut