On Clifford's theorem for rank-3 bundles

被引：0

作者：

Lange, Herbert

Newstead, Peter E.

机构：

[1] Univ Erlangen Nurnberg, Inst Math, D-91054 Erlangen, Germany

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

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2006年 / 22卷 / 01期

关键词：

vector bundle; subbundle;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain bounds on h(0)(E) where E is a semistable bundle of rank 3 over a smooth irreducible projective curve X of genus g >= 2 defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability s(1)(E), s(2)(E). We show also that in some cases the bounds are best possible. These results extend recent work of J. Cilleruelo and I. Sols for bundles of rank 2.

引用

页码：287 / 304

页数：18

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