Cohomology of torus bundles over kuga fiber varieties
Arithmetic varietise, Kuga fiber varieties, Torus bundles
Beitrage zur Algebra und Geometrie
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. © 2008 Heldermann Verlag.
Original Publication Date
Lee, Min Ho, "Cohomology of torus bundles over kuga fiber varieties" (2008). Faculty Publications. 2395.