Remarks on minimal rational curves on moduli spaces ofstable bundles

被引：1

作者：

Min, Liu ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 10期

基金：

中国国家自然科学基金;

关键词：

VECTOR-BUNDLES; SURFACE;

D O I：

10.1016/j.crma.2016.08.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Cbe a smooth projective curve of genus g >= 2 over an algebraically closed field of characteristic zero, and M be the moduli space of stable bundles of rank 2 and with fixed determinant L of degree don the curve C. When g = 3 and d is even, we prove that, for any point [W] is an element of M, there is a minimal rational curve passing through [W], which is not a Hecke curve. This complements a theorem of Xiaotao Sun. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1013 / 1017

页数：5

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