Vanishing Theorems for constructible Sheaves on Abelian Varieties

Mathematics – Algebraic Geometry

Scientific paper

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v2 References added, typos removed v3 Section 1 (relative version) and section 13 (spectrum) added, references added

Scientific paper

For constructible sheaves F on complex abelian varieties, we show that for
most character twists of F the cohomology groups of F vanish in degrees larger
than the dimension of the support of F

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