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Authors
Affiliations
1 Department of Mathematics, East Carolina University, Greenville, NC 27858, US
Source
Journal of the Ramanujan Mathematical Society, Vol 20, No 2 (2005), Pagination: 155–162
Abstract
We show that any effective Hodge structure of CM-type occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a simple proof of the theorem (due to Hazama) that the usual Hodge conjecture for the class of all CM abelian varieties implies the general Hodge conjecture for the same class.