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arXiv · 1012.3061

The Gieseker-Petri divisor in M_g for genus g<=13

Margherita Lelli-Chiesa
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Abstract

The Gieseker-Petri locus GP_g is defined as the locus inside M_g consisting of curves which violate the Gieseker-Petri Theorem. It is known that GP_g has always some divisorial components and it has been conjectured that it is of pure codimension 1 inside M_g. We prove that this holds true for genus up to 13.

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Margherita Lelli-Chiesa. 2010-12-14. The Gieseker-Petri divisor in M_g for genus g<=13. https://arxiv.org/abs/1012.3061

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