A codimension 2 component of the Gieseker-Petri locus

24 Feb 2020 Lelli-Chiesa Margherita

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...

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  • ALGEBRAIC GEOMETRY