Torus bundles over locally symmetric varieties associated to cocycles of discrete groups

We construct torus bundles over locally symmetric Varieties associated to cocycles in the cohomology group H-2 (Gamma, L), where Gamma 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. 1991 Mathematics Subject Classification: 14G35, 14K99, 11F55.
Publisher
SPRINGER-VERLAG WIEN
Issue Date
2000
Language
ENG
Article Type
Article
Keywords

KUGA FIBER VARIETIES; MODULAR-FORMS

Citation

MONATSHEFTE FUR MATHEMATIK, v.130, no.2, pp.127 - 141

ISSN
0026-9255
URI
http://hdl.handle.net/10203/69790
Appears in Collection
MA-Journal Papers(저널논문)
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