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arXiv · 2601.07026

Higher order Petri Loci

Montserrat Teixidor I Bigas
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Abstract

Denote by ${\mathcal P}_{g,d}^{r,k}$ the subset of the moduli space of curves of genus g consisting of those curves that have a linear series of degree d and dimension r for which the Petri map has kernel of dimension at least k. We show the existence of codimension k components of ${\mathcal P}_{g,d}^{r,k}$.

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Montserrat Teixidor I Bigas. 2026-01-11. Higher order Petri Loci. https://arxiv.org/abs/2601.07026

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