Kuga fibre variety is a fibre bundle over a locally symmetric space whose fibre is a polarized Abelian variety. We describe a complex torus bundle associated to a 2-cocycle of a discrete group, which may be regarded as a generalized Kuga fibre variety, and prove the existence of such a bundle.
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Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Peking Univ, LMAM, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Ding, Fan
Li, Youlin
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Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China