English

Limits of the trivial bundle on a curve

Algebraic Geometry 2023-06-22 v8

Abstract

We attempt to describe the rank 2 vector bundles on a curve C which are specializations of the trivial bundle. We get a complete classifications when C is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit vector bundles are decomposable. We give examples of indecomposable limit bundles for some special curves.

Keywords

Cite

@article{arxiv.1712.07597,
  title  = {Limits of the trivial bundle on a curve},
  author = {Arnaud Beauville},
  journal= {arXiv preprint arXiv:1712.07597},
  year   = {2023}
}

Comments

Final version, published in Epiga