On the Rigidity of BN-sheaves

We define monoidal components attached to perverse sheaves on abelian varieties and discuss their properties

Degenerate Perverse Sheaves on Abelian Varieties

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