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arXiv:1203.4857 [math.AG]AbstractReferencesReviewsResources

Tate twists of Hodge structures arising from abelian varieties of type IV

Salman Abdulali

Published 2012-03-21Version 1

We show that certain abelian varieties A have the property that for every Hodge structure V in the cohomology of A, every effective Tate twist of V occurs in the cohomology of some abelian variety. We deduce the general Hodge conjecture for certain non-simple abelian varieties of type IV.

Journal: Journal of Pure and Applied Algebra 216 (2012), 1164-1170
Categories: math.AG
Subjects: 14C30, 14K20
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