ON MAXIMALLY FROBENIUS DESTABILISED VECTOR BUNDLES

被引：1

作者：

Li, Lingguang ^{[1
]}

机构：

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2019年 / 99卷 / 02期

基金：

中国国家自然科学基金;

关键词：

vector bundle; moduli space; Frobenius morphism; MORPHISM;

D O I：

10.1017/S0004972718001314

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a smooth projective curve of genus g >= 2 over an algebraically closed field k of characteristic p > 0. We show that for any integers r and d with 0 < r < p, there exists a maximally Frobenius destabilised stable vector bundle of rank r and degree d on X if and only if r vertical bar d.

引用

页码：195 / 202

页数：8

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