English

Coherent systems on the projective line

Algebraic Geometry 2020-06-19 v3

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.

Keywords

Cite

@article{arxiv.2001.07114,
  title  = {Coherent systems on the projective line},
  author = {P. E. Newstead and Montserrat Teixidor i Bigas},
  journal= {arXiv preprint arXiv:2001.07114},
  year   = {2020}
}

Comments

Typos corrected. To appear in Quarterly J. Math. (Atiyah Memorial Volume)

R2 v1 2026-06-23T13:15:38.126Z