Geometry of Brill-Noether loci on Prym varieties

2011/03/05 by Andreas Höring, Höring, Andreas
Mathematics · #14H40 #14H51 #14K12 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1103.1053

openalex publication_date 2011/03/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/04

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 V² completely determines the covering. In this paper we describe the singular locus and the irreducible components of V².

Related

• Prym-Brill-Noether theory for ramified double covers
• Maximal Brill-Noether loci via degenerations and double covers
• Brill--Noether loci in genus ≤ 12
• Components of Brill-Noether Loci for Curves with Fixed Gonality
• The class of the Prym-Brill-Noether divisor