Remarks on the nonvanishing of cohomology groups for perverse sheaves on abelian varieties

2016/12/05 by Weissauer, Rainer
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.01500

Abstract

It is shown that for a perverse sheaf K on an abelian variety X the integers i for which the cohomology Hⁱ(X,K) does not vanish define an interval in the number line (under certain conditions on the field of definition of K)

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