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arxiv: alg-geom/9709030 · v1 · submitted 1997-09-26 · alg-geom · math.AG

A Survey of the Hodge Conjecture for Abelian Varieties

B. Brent Gordon This is my paper
classification alg-geom math.AG
keywords abelianconjecturehodgevarietiesappliedbeenemphasisgroups
0
0 comments X p. Extension
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We review what is known about the Hodge conjecture for abelian varieties, with some emphasis on how Mumford-Tate groups have been applied to this problem.

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  1. Weight of the De Rham-Betti Structures of Abelian Varieties

    math.AG 2026-05 unverdicted novelty 6.0

    Any abelian variety over algebraic numbers has a de Rham-Betti group containing G_m, so odd-degree cohomology carries no non-zero dRB classes.