A Torelli theorem for the moduli space of Higgs bundles on a curve

被引：8
|
作者：
Biswas, I [1 ]
Gómez, TL [1 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2003年 / 54卷
关键词：
D O I：
10.1093/qmath/hag006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a smooth projective curve over C, and let M-X(n),(xi) be the moduli space of stable Higgs bundles on X (with genus g > 1), of rank n and fixed determinant xi, with n and deg(xi) coprime. Let X' and xi' be another such curve and line bundle. We prove that if M-X(n),(xi) and M-X'(n),(xi') are isomorphic as algebraic varieties, then X and X' are isomorphic.
引用
收藏
页码：159 / 169
页数：11
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