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arXiv · 1702.06395

Vanishing theorems for perverse sheaves on abelian varieties, revisited

Bhargav Bhatt·Christian Schnell·Peter Scholze
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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.

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Bhargav Bhatt, Christian Schnell, Peter Scholze. 2017-02-21. Vanishing theorems for perverse sheaves on abelian varieties, revisited. https://arxiv.org/abs/1702.06395

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