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

页码：159 / 169

页数：11

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