曲线上主丛模空间的Torelli定理
代数几何
2011-02-14 v2
摘要
设X和X'为亏格至少为3的紧黎曼曲面,G和G'为非阿贝尔约化复群。如果X上半稳定主G-丛模空间的一个分支M_G^d(X)同构于M_{G'}^{d'}(X')的一个分支,则X同构于X'。
引用
@article{arxiv.1003.4061,
title = {A Torelli theorem for moduli spaces of principal bundles over a curve},
author = {Indranil Biswas and Norbert Hoffmann},
journal= {arXiv preprint arXiv:1003.4061},
year = {2011}
}
备注
v2: 19 pages. final version, accepted for publication in Ann. Inst. Fourier