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arXiv · 1203.4857

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

Salman Abdulali
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Abstract

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.

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Salman Abdulali. 2012-03-21. Tate twists of Hodge structures arising from abelian varieties of type IV. https://doi.org/10.1016/j.jpaa.2011.10.005

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