Coherent Systems on the Projective Line

IF 0.6 4区数学 Q3 MATHEMATICS

Quarterly Journal of Mathematics Pub Date : 2020-12-01 DOI:10.1093/qmathj/haaa024

Peter Newstead;Montserrat Teixidor i Bigas

引用次数: 1

Abstract

It is well known that there are no stable bundles of rank greater than 1 on the projective line. In this paper, our main purpose is to study the existence problem for stable coherent systems on the projective line when the number of sections is larger than the rank. We include a review of known results, mostly for a small number of sections.

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投影线上的相干系统

众所周知，在射影线上不存在秩大于1的稳定丛。本文的主要目的是研究当区间数大于秩时，射影线上稳定相干系统的存在性问题。我们包括对已知结果的审查，主要针对少数章节。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.