Curves with Jacobian syzygies of the same degree
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913376766001152 |
|---|---|
| author | Dimca, Alexandru Sticlaru, Gabriel |
| author_facet | Dimca, Alexandru Sticlaru, Gabriel |
| contents | In this notes we study complex projective plane curves whose graded module of Jacobian syzygies is generated by its minimal degree component. Examples of such curves include the smooth curves as well as the maximal Tjurina curves. However, this class of curves seems to be surprisingly large. In particular, any line arrangement $\mathcal A$ of $d=2k+1\geq 5 $ lines having only double and triple points is in this class if the number of triple points is $k$ and if they are all situated on a line $L \in \mathcal A$, see Theorem 6.2 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curves with Jacobian syzygies of the same degree Dimca, Alexandru Sticlaru, Gabriel Algebraic Geometry In this notes we study complex projective plane curves whose graded module of Jacobian syzygies is generated by its minimal degree component. Examples of such curves include the smooth curves as well as the maximal Tjurina curves. However, this class of curves seems to be surprisingly large. In particular, any line arrangement $\mathcal A$ of $d=2k+1\geq 5 $ lines having only double and triple points is in this class if the number of triple points is $k$ and if they are all situated on a line $L \in \mathcal A$, see Theorem 6.2 |
| title | Curves with Jacobian syzygies of the same degree |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.06269 |