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

被引：3

作者：

Lee, MH ^{[1
]}

Suh, DY

机构：

[1] Univ No Iowa, Dept Math, Cedar Falls, IA 50614 USA

[2] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea

来源：

MONATSHEFTE FUR MATHEMATIK | 2000年 / 130卷 / 02期

关键词：

Torus bundles; locally symmetric spaces; automorphic forms;

D O I：

10.1007/s006050070042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：127 / 141

页数：15