Vanishing theorems for perverse sheaves on abelian varieties, revisited
Algebraic Geometry
2017-02-22 v1
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.
Keywords
Cite
@article{arxiv.1702.06395,
title = {Vanishing theorems for perverse sheaves on abelian varieties, revisited},
author = {Bhargav Bhatt and Christian Schnell and Peter Scholze},
journal= {arXiv preprint arXiv:1702.06395},
year = {2017}
}
Comments
14 pages, comments welcome