Principal bundles over projective manifolds with parabolic structure over a divisor

被引:47
作者
Balaji, V
Biswas, I
Nagaraj, DS
机构
[1] Inst Math Sci, Chennai 600113, India
[2] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
关键词
D O I
10.2748/tmj/1178207416
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Principal G-bundles with parabolic structure over a normal crossing divisor are defined along the line of the interpretation of the usual principal G-bundles as functors from the category of representations, of the structure group G, into the category of vector bundles, satisfying certain axioms. Various results on principal bundles are extended to the more general context of principal bundles with parabolic structures, and also to parabolic G-bundles with Hi.-gs structure. A simple construction of the moduli space of parabolic semistable G-bundles over a curve is given, where G is a semisimple linear algebraic group over C.
引用
收藏
页码:337 / 367
页数:31
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