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A derived category approach to generic vanishing

Christopher D. Hacon
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Abstract

We prove a Generic Vanishing Theorem for coherent sheaves on an abelian variety over an algebraically closed field $k$. When $k=\CC$ this implies a conjecture of Green and Lazarsfeld.

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Christopher D. Hacon. 2003-08-20. A derived category approach to generic vanishing. https://arxiv.org/abs/math/0308198

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