A codimension 2 component of the Gieseker-Petri locus
Algebraic Geometry
2021-01-19 v2
Abstract
We show that the Brill-Noether locus M^3_{18,16} is an irreducible component of the Gieseker-Petri locus in genus 18 having codimension 2 in the moduli space of curves. This result disproves a conjecture predicting that the Gieseker-Petri locus is always divisorial.
Keywords
Cite
@article{arxiv.2002.10550,
title = {A codimension 2 component of the Gieseker-Petri locus},
author = {Margherita Lelli-Chiesa},
journal= {arXiv preprint arXiv:2002.10550},
year = {2021}
}
Comments
Final version, to appear in Journal of Algebraic Geometry