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Existence of Torus bundles associated to cocycles

Published online by Cambridge University Press:  17 April 2009

Min Ho Lee
Min Ho Lee
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, United States of America, e-mail: lee@math.uni.edu
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A Kuga fibre variety is a fibre bundle over a locally symmetric space whose fibre is a polarized Abelian variety. We describe a complex torus bundle associated to a 2-cocycle of a discrete group, which may be regarded as a generalized Kuga fibre variety, and prove the existence of such a bundle.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 3 , June 2006 , pp. 345 - 351
Copyright
Copyright © Australian Mathematical Society 2006

References

[1]Kuga, M., Fiber varieties over a symmetric space whose fibers are abelian varieties I, II (Univ. of Chicago, Chicago, 1963/1964).Google Scholar
[2]Lee, M.H., ‘Cohomology of complex torus bundles associated to cocycles’, Canad. J. Math. 55 (2003), 839–855.CrossRefGoogle Scholar
[3]Lee, M.H., Mixed automorphic forms, torus bundles, and Jacobi forms, Lecture Notes in Math. 1845 (Springer-Verlag, Berlin, 2004).CrossRefGoogle Scholar
[4]Lee, M.H. and Suh, D.Y., ‘Torus bundles over locally symmetric varieties associated to cocycles of discrete groups’, Monatsh. Math. 59 (2000), 127–141.CrossRefGoogle Scholar
[5]Satake, I., Algebraic structures of symmetric domains (Princeton Univ. Press, Princeton, 1980).Google Scholar