Abstract
We investigate the relationship between the usual and general Hodgeconjectures for abelian varieties. For certain abelian varieties A, weshow that the usual Hodge conjecture for all powers of A implies thegeneral Hodge conjecture for A.
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Abdulali, S. Abelian varieties and the general Hodge conjecture. Compositio Mathematica 109, 341–355 (1997). https://doi.org/10.1023/A:1000274922979
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DOI: https://doi.org/10.1023/A:1000274922979