The perverse filtration and the Lefschetz hyperplane theorem, II

Details The perverse filtration and the Lefschetz hyperplane theorem, II The perverse filtration and the Lefschetz hyperplane theorem, II

2010-06-14

arxiv.org/abs/1006.2582v1

Mathematics

Algebraic Geometry

To appear in JAG. This paper is dedicated to Prakob Monkolchayut

Scientific paper

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.

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