A TORELLI THEOREM FOR MODULI SPACES OF PRINCIPAL BUNDLES OVER A CURVE

被引：16
|
作者：
Biswas, Indranil [1 ]
Hoffmann, Norbert [2 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
[2] Free Univ Berlin, Math Inst, D-14195 Berlin, Germany
来源：
ANNALES DE L INSTITUT FOURIER | 2012年 / 62卷 / 01期
关键词：
Principal bundle; moduli space; Torelli theorem; VECTOR-BUNDLES; PICARD GROUP;
D O I：
10.5802/aif.2700
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X and X' be compact Riemann surfaces of genus >= 3, and let G and G' be nonabelian reductive complex groups. If one component M-G(d)(X) of the coarse moduli space for semistable principal G-bundles over X is isomorphic to another component M-G'(d')(X'), then X is isomorphic to X'.
引用
收藏
页码：87 / 106
页数：20
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