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Faculty Publications
Cohomology Of Torus Bundles Over Kuga Fiber Varieties
Document Type
Article
Keywords
Arithmetic varietise, Kuga fiber varieties, Torus bundles
Journal/Book/Conference Title
Beitrage zur Algebra und Geometrie
Volume
49
Issue
2
First Page
429
Last Page
440
Abstract
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.
Department
Department of Mathematics
Original Publication Date
10-1-2008
Recommended Citation
Lee, Min Ho, "Cohomology Of Torus Bundles Over Kuga Fiber Varieties" (2008). Faculty Publications. 2395.
https://scholarworks.uni.edu/facpub/2395