SMALL RATIONAL CURVES ON THE MODULI SPACE OF STABLE BUNDLES

被引：1

作者：

Liu, Min ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 08期

关键词：

Small rational curves; moduli space of vector bundles over a curve; VECTOR-BUNDLES; ALGEBRAIC CURVE;

D O I：

10.1142/S0129167X12500851

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a smooth projective curve C with genus g >= 2 and a degree 1 line bundle L on C, let M := SUC(r, L) be the moduli space of stable vector bundles of rank r over C with the fixed determinant L. In this paper, we study the small rational curves on M and estimate the codimension of the locus of the small rational curves. In particular, we determine all small rational curves when r = 3.

引用

页数：15

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