Vanishing theorems for abelian varieties over finite fields
Algebraic Geometry
2015-06-09 v5
Abstract
For perverse sheaves K on abelian varieties X defined over a finitely generated field F we prove that the Euler-Poincare characteristic (defined for the extension of K to the algebraic closure of F) is non-negative.
Cite
@article{arxiv.1407.0844,
title = {Vanishing theorems for abelian varieties over finite fields},
author = {Rainer Weissauer},
journal= {arXiv preprint arXiv:1407.0844},
year = {2015}
}
Comments
theorem 3 added