Torus bundles over locally symmetric varieties associated to cocycles of discrete groups
Automorphic forms, Locally symmetric spaces, Torus bundles
Monatshefte fur Mathematik
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
DOI of published version
Lee, Min Ho and Suh, Dong Youp, "Torus bundles over locally symmetric varieties associated to cocycles of discrete groups" (2000). Faculty Publications. 3684.