A Torelli type theorem for the moduli space of parabolic vector bundles over curves

被引：12
|
作者：
Balaji, V
Biswas, I
Rollin, SD
机构：
[1] SPIC Math Inst, Sch Math, Madras 600017, Tamil Nadu, India
[2] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
[3] Max Planck Inst Math, D-53224 Bonn, Germany
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2001年 / 130卷
关键词：
D O I：
10.1017/S0305004100004916
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let S (respectively, S') be a finite subset of a compact connected Riemann surface X (respectively, X') of genus at least two. Let M (respectively M') denote a moduli space of parabolic stable bundles of rank 2 over X (respectively X') with fixed determinant of degree 1, having a nontrivial quasi-parabolic structure over each point of S (respectively, S') and of parabolic degree less than 2. It, is proved that, K is isomorphic to M' if and only if there is an isomorphism of X with X' taking S to S'.
引用
收藏
页码：269 / 280
页数：12
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