Linear series on curves: stability and Clifford index
Algebraic Geometry
2023-12-29 v1
Abstract
We study concepts of stabilities associated to a smooth complex curve together with a linear series on it. In particular we investigate the relation between stability of the associated Dual Span Bundle and linear stability. Our result implies a stability condition related to the Clifford index of the curve. Furthermore, in some of the cases, we prove that a stronger stability holds: cohomological stability. Eventually using our results we obtain stable vector bundles of integral slope 3, and prove that they admit theta-divisors.
Keywords
Cite
@article{arxiv.1111.0304,
title = {Linear series on curves: stability and Clifford index},
author = {Ernesto C. Mistretta and Lidia Stoppino},
journal= {arXiv preprint arXiv:1111.0304},
year = {2023}
}
Comments
24 pages