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arXiv:1407.0844 [math.AG]AbstractReferencesReviewsResources

Vanishing theorems for abelian varieties over finite fields

Rainer Weissauer

Published 2014-07-03, updated 2014-09-05Version 2

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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