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

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

2005-10-12

arxiv.org/abs/math/0510256v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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