Moduli space of parabolic vector bundles on a curve

被引：0
|
作者：
Usha N. Bhosle
Indranil Biswas
机构：
[1] Tata Institute of Fundamental Research,School of Mathematics
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2012年 / 53卷 / 2期
关键词：
Parabolic bundle; Moduli space; Semistability; 14D20; 14F05;
D O I：
10.1007/s13366-011-0053-7
中图分类号：
学科分类号：
摘要：
Let X be an irreducible smooth complex projective curve. Faltings gave a cohomological criterion for vector bundles on X to be semistable. Using this criterion he gave a construction of the moduli spaces of vector bundles on X (Faltings in J Alg Geom 2:507–568, 1993). An analogous cohomological criterion for semistable parabolic vector bundles on X is now known. Our aim here is to give a construction of the moduli spaces of parabolic vector bundles using this criterion.
引用
收藏
页码：437 / 449
页数：12
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