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Abelian varieties and the general Hodge conjecture
Authors:Salman Abdulali
Institution:(1) Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA
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.
Keywords:Hodge conjecture  algebraic cycle  abelian variety  Kuga fiber variety
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