Higher order Petri Loci
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866912817360142336 |
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| author | Bigas, Montserrat Teixidor I |
| author_facet | Bigas, Montserrat Teixidor I |
| contents | 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 ${\mathcal P}_{g,d}^{r,k}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07026 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Higher order Petri Loci Bigas, Montserrat Teixidor I Algebraic Geometry 14H10 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 ${\mathcal P}_{g,d}^{r,k}$. |
| title | Higher order Petri Loci |
| topic | Algebraic Geometry 14H10 |
| url | https://arxiv.org/abs/2601.07026 |