On a desingularization of the moduli space of noncommutative tori

被引：0
|
作者：
Nikolaev, Igor [1 ]
机构：
[1] Fields Inst Math Sci, Toronto, ON, Canada
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 11期
关键词：
complex tori; noncommutative tori;
D O I：
10.1090/S0002-9939-08-09465-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that the moduli space of the noncommutative tori A(theta) admits a natural desingularization by the group Ext (A(theta), A(theta)). Namely, we prove that the moduli space of pairs (A(theta), Ext (A(theta), A(theta))) is homeomorphic to a punctured two-dimensional sphere. The proof is based on a correspondence ( a covariant functor) between the complex and noncommutative tori.
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页码：3769 / 3774
页数：6
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