Geometry of Brill-Noether loci on Prym varieties

Abstract

Given the Prym variety of an étale double cover one can define analogues of the classical Brill-Noether loci on Jacobians of curves. Recent work by Lahoz and Naranjo shows that the Brill-Noether locus $V^2$ completely determines the covering. In this paper we describe the singular locus and the irreducible components of $V^2$.

19 pages, changed metadata

References in corpus (1)

• Minimal Cohomology Classes and Jacobians

Cited by in corpus (1)

• Theta-duality on Prym varieties and a Torelli Theorem