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