The Brill-Noether Curve of a Stable Vector Bundle on a Genus Two Curve

2005/10/12 by Sonia Brivio, Alessandro Verra, Brivio, Sonia +1
Mathematics · #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H60

paper · pdf · doi:10.48550/arxiv.math/0510256

to appear on Proceedings of the Workshop Algebraic Cycles and Motives, Leiden - August, 30 - September 3, 2004

arxiv created 2005/10/12 · arxiv updated 2009/12/01

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.

Related

• Vector bundles and theta functions on curves of genus 2 and 3
• Brill--Noether loci of stable rank--two vector bundles on a general curve
• Local structure of theta divisors and related loci of generic curves
• Brill-Noether theory and non-special scrolls
• A note on the Brill-Noether loci of small codimension in moduli space of stable bundles