Infinitesimal deformations of the tangent bundle of a moduli space of vector bundles over a curve

被引：0

作者：

Biswas, Indranil ^{[1
]}

机构：

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

来源：

OSAKA JOURNAL OF MATHEMATICS | 2006年 / 43卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fix a line bundle xi on a connected smooth complex projective curve X of genus at least three. Let N denote the moduli space of all stable vector bundles over X of rank n and determinant xi. We assume that n >= 3 and coprime to degree(xi); If genus(X) <= 4, then we also assume that n >= 4. We prove that H-i(N, End(TN)) H-i(X, O-x) for i = 0, 1.

引用

页码：263 / 274

页数：12

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