Clifford's theorem and higher rank vector bundles

被引：24

作者：

Mercat, V ^{[1
]}

机构：

[1] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2002年 / 13卷 / 07期

关键词：

algebraic curves; vector bundles; Clifford's theorem;

D O I：

10.1142/S0129167X02001484

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give here a refinement of the classical Clifford's theorem for the upper bound of the number of independent global sections of a semistable vector bundle on a smooth curve. We also conjecture a new version of this theorem that takes into account the Clifford index of the curve. In the case of a bi-elliptic curve we obtain a very precise bound. Finally we study the case of rank 2 bundles.

引用

页码：785 / 796

页数：12

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