Vector bundles with Theta divisors I: Bundles on Castelnuovo curves
Algebraic Geometry
2013-06-14 v1
Abstract
In this paper we show that semistable vector bundles on a Castelnuovo curve of genus g >= 2 have theta divisors. As a corollary, we deduce that semistable vector bundles on a smooth, general curve of genus g >= 2 which extend to semistable vector bundles on any Castelnuovo degeneration of the general curve admit a theta divisor.
Keywords
Cite
@article{arxiv.0712.0202,
title = {Vector bundles with Theta divisors I: Bundles on Castelnuovo curves},
author = {Kirti Joshi and V. B. Mehta},
journal= {arXiv preprint arXiv:0712.0202},
year = {2013}
}
Comments
10 pages