Linear series on ribbons
Algebraic Geometry
2009-02-25 v1 Rings and Algebras
Abstract
A ribbon is a double structure on P^1. The geometry of a ribbon is closely related to that of a smooth curve. In this note we consider linear series on ribbons. Our main result is an explicit determinantal description for the locus W^{r}_{2n} of degree 2n line bundles with at least (r+1)-dimensional sections on a ribbon. We also discuss some results of Clifford and Brill-Noether type.
Cite
@article{arxiv.0902.4065,
title = {Linear series on ribbons},
author = {Dawei Chen},
journal= {arXiv preprint arXiv:0902.4065},
year = {2009}
}