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.
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页数：15
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