The Brill-Noether Curve of a Stable Vector Bundle on a Genus Two Curve
Algebraic Geometry
2007-05-23 v1
Abstract
Let U(r) be the moduli space of rank r vector bundles with trivial determinant on a smooth curve of genus 2. The map theta_r: U(r) -> |r Theta|, which associates to a general bundle its theta divisor, is generically finite. In this paper we give a geometric interpretation of the generic fibre of theta_r.
Keywords
Cite
@article{arxiv.math/0510256,
title = {The Brill-Noether Curve of a Stable Vector Bundle on a Genus Two Curve},
author = {Sonia Brivio and Alessandro Verra},
journal= {arXiv preprint arXiv:math/0510256},
year = {2007}
}
Comments
to appear on Proceedings of the Workshop Algebraic Cycles and Motives, Leiden - August, 30 - September 3, 2004