A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems
Algebraic Geometry
2015-02-03 v3 Algebraic Topology
Abstract
We prove a certain 'fat hyperplane section' Weak Lefschetz-type theorem for etale cohomology of non-projective varieties, similar to a result of Goresky and MacPherson (over complex numbers). This statement easily yields certain (vast) generalizations of the 'ordinary' Weak Lefschetz and Barth's theorems in arbitrary characteristic (that do not require any stratified Morse theory for their proof).
Cite
@article{arxiv.1203.2595,
title = {A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems},
author = {Mikhail V. Bondarko},
journal= {arXiv preprint arXiv:1203.2595},
year = {2015}
}
Comments
Several minor corrections made