Degenerate Perverse Sheaves on Abelian Varieties

Abstract

We analyze irreducible perverse sheaves on abelian varieties, defined over the complex numbers or the algebraic closure of a finite field, whose Euler characteristic is zero. We give a description of such perverse sheaves under assumptions for the case of simple abelian varieties.Comment: version2: appendix added version3: The appendix from the paper "Why certain Tannaka groups attached to abelian varieties are almost connected" has now been moved to become an appendix of this pape