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Cohomology of Complex Torus Bundles Associated to Cocycles

Published online by Cambridge University Press:  20 November 2018

Min Ho Lee
Min Ho Lee*
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, U.S.A. email: [email protected]
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Abstract

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Equivariant holomorphic maps of Hermitian symmetric domains into Siegel upper half spaces can be used to construct families of abelian varieties parametrized by locally symmetric spaces, which can be regarded as complex torus bundles over the parameter spaces. We extend the construction of such torus bundles using 2-cocycles of discrete subgroups of the semisimple Lie groups associated to the given symmetric domains and investigate some of their properties. In particular, we determine their cohomology along the fibers.

Keywords

14K1014D0614F99
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 55 , Issue 4 , 01 August 2003 , pp. 839 - 855
Copyright
Copyright © Canadian Mathematical Society 2003

References

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