A Note on a Brill-Noether Locus over a Non-hyperelliptic curve of genus 4

2009/01/15 by Sukmoon Huh, Huh, Sukmoon
Mathematics · #14D20 #14E05 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14D20 #msc:14E05

paper · pdf · doi:10.48550/arxiv.0901.2158

8 pages, sort of appendix to the article [arxiv:0810.4392], any comments welcome

arxiv created 2009/04/05 · arxiv updated 2009/12/01

Abstract

We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.

Citations

• Moduli of Stable Sheaves on a Smooth Quadric in \PP₃

Related

• Non-Abelian Brill-Noether theory and Fano 3-folds
• Invariants of the Brill-Noether curve
• Nonemptiness of Brill-Noether loci
• Brill--Noether loci in genus ≤ 12
• Refined Brill-Noether theory for all trigonal curves