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arxiv: math/0308198 · v1 · submitted 2003-08-20 · 🧮 math.AG

A derived category approach to generic vanishing

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keywords genericvanishingabelianalgebraicallyapproachcategoryclosedcoherent
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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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