The Brill-Noether Curve of a Stable Vector Bundle on a Genus Two Curve
Sonia Brivio, Alessandro Verra
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 thetar: 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 thetar.
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