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arXiv:1203.4016 [math.AG]AbstractReferencesReviewsResources

Hodge structures associated to SU(p,1)

Salman Abdulali

Published 2012-03-19, updated 2015-07-19Version 2

Let A be an abelian variety over C such that the semisimple part of the Hodge group of A is a product of copies of SU(p,1) for some p>1. We show that any effective Tate twist of a Hodge structure occurring in the cohomology of A is isomorphic to a Hodge structure in the cohomology of some abelian variety.

Journal: Communications in Algebra 43 (2015), 4209-4220
Categories: math.AG
Subjects: 14C30, 14K20
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