English

Exact sequence of semistable vector bundles on algebraic curves

Algebraic Geometry 2007-05-23 v1

Abstract

Let X be a smooth complex projective curve of genus g bigger or equal to 1. If g is bigger than 1 assume further that X is either bielliptic or with general moduli. Under a natural condition on slopes, we prove that there exists a short exact sequence of semistable vector bundles with given ranks and degrees. The importance of the paper consists of the new method adopted for the proves.

Keywords

Cite

@article{arxiv.math/9808102,
  title  = {Exact sequence of semistable vector bundles on algebraic curves},
  author = {E. Ballico and B. Russo},
  journal= {arXiv preprint arXiv:math/9808102},
  year   = {2007}
}

Comments

11 pages, Latex

R2 v1 2026-07-22T17:59:41.879Z