A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems

Details A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems

2012-03-12

arxiv.org/abs/1203.2595v1

Mathematics

Algebraic Geometry

A simple sheaf-theoretic argument yields several interesting applications. 21 pages; will be revised; comments are very welcom

Scientific paper

We prove a certain 'fat hyperplane section' Weak Lefschetz-type statement for
etale cohomology, 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.

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