Faculty Publications

Title

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.

Original Publication Date

1-1-2000

DOI of published version

10.1007/s006050070042

Share

COinS