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
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