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

被引：17

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

页码：87 / 106

页数：20