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.

中文翻译：

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投影线上的相干系统

众所周知，在投影线上没有等级大于1的稳定束。本文的主要目的是研究截面数大于秩的投影线上稳定相干系统的存在性问题。我们对已知结果进行了综述，其中大部分是针对少数部分的。