Vanishing theorems for abelian varieties over finite fields

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.

theorem 3 added

References in corpus (4)

• Vanishing Theorems for constructible Sheaves on Abelian Varieties
• Degenerate Perverse Sheaves on Abelian Varieties
• Why certain Tannaka groups attached to abelian varieties are almost connected
• On the Rigidity of BN-sheaves

Cited by in corpus (1)

• The Shafarevich conjecture for hypersurfaces in abelian varieties