Faculty Publications
Torus Bundles Over Locally Symmetric Varieties Associated To Cocycles Of Discrete Groups
Document Type
Article
Keywords
Automorphic forms, Locally symmetric spaces, Torus bundles
Journal/Book/Conference Title
Monatshefte fur Mathematik
Volume
130
Issue
2
First Page
127
Last Page
141
Abstract
We construct torus bundles over locally symmetric varieties associated to cocycles in the cohomology group H2(Γ, L), where Γ is a discrete subgroup of a semisimple Lie group and L is a lattice in a real vector space. We prove that such a torus bundle has a canonical complex structure and that the space of holomorphic forms of the highest degree on a fiber product of such bundles is isomorphic to the space of mixed automorphic forms of a certain type.
Department
Department of Mathematics
Original Publication Date
1-1-2000
DOI of published version
10.1007/s006050070042
Recommended Citation
Lee, Min Ho and Suh, Dong Youp, "Torus Bundles Over Locally Symmetric Varieties Associated To Cocycles Of Discrete Groups" (2000). Faculty Publications. 3684.
https://scholarworks.uni.edu/facpub/3684
