Remarks on the nonvanishing of cohomology groups for perverse sheaves on abelian varieties
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keywords
abeliancohomologyperversecertainconditionsdefinedefinitionfield
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It is shown that for a perverse sheaf $K$ on an abelian variety $X$ the integers $i$ for which the cohomology $H^i(X,K)$ does not vanish define an interval in the number line (under certain conditions on the field of definition of $K$)
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