Automorphisms of moduli spaces of vector bundles over a curve

被引：17

作者：

Biswas, Indranil ^{[1
]}

Gomez, Tomas L. ^{[2
,3
]}

Munoz, Vicente ^{[3
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Inst Ciencias Matemat CSIC UAM UC3M UCM, Madrid 28049, Spain

[3] Univ Complutense Madrid, Fac Ciencias Matemat, E-28040 Madrid, Spain

来源：

EXPOSITIONES MATHEMATICAE | 2013年 / 31卷 / 01期

关键词：

Stable bundles; Moduli space; Automorphism group; VARIETIES;

D O I：

10.1016/j.exmath.2012.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be an irreducible smooth complex projective curve of genus g >= 4. Let M (r, Lambda) be the moduli space of stable vector bundles E -> X or rank r and fixed determinant Lambda. We show that the automorphism group of M (r, Lambda) is generated by automorphisms of the curve X, tensorization with suitable line bundles, and, in case r divides 2 deg(Lambda), also dualization of vector bundles. (C) 2012 Elsevier GmbH. All rights reserved.

引用

页码：73 / 86

页数：14

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