Cohomology of Torus Bundles over Kuga Fiber Varieties
نویسنده
چکیده
A Kuga fiber variety is a family of abelian varieties parametrized by a locally symmetric space and is constructed by using an equivariant holomorphic map of Hermitian symmetric domains. We construct a complex torus bundle T over a Kuga fiber variety Y parametrized by X and express its cohomology H∗(T ,C) in terms of the cohomology of Y as well as in terms of the cohomology of the locally symmetric space X. MSC 2000: 14K99, 11F75
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