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arXiv · 1407.0844

Vanishing theorems for abelian varieties over finite fields

Rainer Weissauer
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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.

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Rainer Weissauer. 2014-07-03. Vanishing theorems for abelian varieties over finite fields. https://arxiv.org/abs/1407.0844

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