Mathematics – Algebraic Geometry
Scientific paper
2012-03-21
Journal of Pure and Applied Algebra 216 (2012), 1164-1170
Mathematics
Algebraic Geometry
Scientific paper
10.1016/j.jpaa.2011.10.005
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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