Vanishing theorems for perverse sheaves on abelian varieties, revisited

Abstract

We revisit some of the basic results of generic vanishing theory, as pioneered by Green and Lazarsfeld, in the context of constructible sheaves. Using the language of perverse sheaves, we give new proofs of some of the basic results of this theory. Our approach is topological/arithmetic, and avoids Hodge theory.

14 pages, comments welcome

Cited by in corpus (2)

• Generic vanishing for semi-abelian varieties and integral Alexander modules
• Mellin transformation, propagation, and abelian duality spaces