Vanishing theorems for abelian varieties over finite fields
classification
🧮 math.AG
keywords
abeliandefinedvarietiesalgebraiccharacteristicclosureeuler-poincareextension
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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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