Open AccessA codimension 2 component of the Gieseker-Petri locus
Author(s) -
Margherita Lelli–Chiesa
Publication year - 2022
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/jag/780
Subject(s) - algorithm , annotation , artificial intelligence , computer science , mathematics
We show that the Brill-Noether locus M 18 , 16 3 M^3_{18,16} is an irreducible component of the Gieseker-Petri locus in genus 18 18 having codimension 2 2 in the moduli space of curves. This result disproves a conjecture predicting that the Gieseker-Petri locus is always divisorial.