English

Brill-Noether theory and non-special scrolls

Algebraic Geometry 2007-12-14 v1

Abstract

In this paper we study the Brill-Noether theory of sub-line bundles of a general, stable rank-two vector bundle on a curve C with general moduli. We relate this theory to the geometry of unisecant curves on smooth, non-special scrolls with hyperplane sections isomorphic to C. Most of our results are based on degeneration techniques.

Keywords

Cite

@article{arxiv.0712.2106,
  title  = {Brill-Noether theory and non-special scrolls},
  author = {A. Calabri and C. Ciliberto and F. Flamini and R. Miranda},
  journal= {arXiv preprint arXiv:0712.2106},
  year   = {2007}
}

Comments

16 pages, Latex2e, Submitted preprint

R2 v1 2026-06-21T09:53:37.021Z