Vanishing theorems for constructible sheaves on abelian varieties

We show that the hypercohomology of most character twists of perverse sheaves on a complex abelian variety vanishes in all non-zero degrees. As a consequence we obtain a vanishing theorem for constructible sheaves and a relative vanishing theorem for a homomorphism between abelian varieties. Our pro...

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Bibliographic Details
Main Authors: Krämer, Thomas (Author) , Weissauer, Rainer (Author)
Format: Article (Journal)
Language:English
Published: April 20, 2015
In: Journal of algebraic geometry
Year: 2015, Volume: 24, Issue: 3, Pages: 531-568
ISSN:1534-7486
DOI:10.1090/jag/645
Online Access:Verlag, Volltext: http://dx.doi.org/10.1090/jag/645
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Author Notes:Thomas Krämer and Rainer Weissauer
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