STABLE PARABOLIC BUNDLES AND FLAT SINGULAR CONNECTIONS

被引:57
作者
BIQUARD, O [1 ]
机构
[1] ECOLE POLYTECH, CTR MATH, F-91128 PALAISEAU, FRANCE
来源
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1991年 / 119卷 / 02期
关键词
D O I
10.24033/bsmf.2166
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let X be a Riemann surface, E --> X a holomorphic vector bundle with parabolic structure over the points P(i) is-an-element-of X; we construct spaces of connections on E, singular at the points P(i), which "represent" the parabolic structure; we then use Donaldson's method to give a differential-geometric proof of a theorem of Mehta and Seshadri about stable parabolic vector bundles.
引用
收藏
页码:231 / 257
页数:27
相关论文
共 13 条
[11]  
Simpson CT., 1988, J AM MATH SOC, V1, P867, DOI 10.1090/S0894-0347-1988-0944577-9
[12]   CONNECTIONS WITH LP BOUNDS ON CURVATURE [J].
UHLENBECK, KK .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 83 (01) :31-42
[13]  
[No title captured]