The Scrollar Invariants of Curves Mapping to a Hirzebruch Surface
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912891331936256 |
|---|---|
| author | Redigolo, Riccardo |
| author_facet | Redigolo, Riccardo |
| contents | In this note we analyse the scrollar invariants of $k:1$ covers of $\mathbb P^1$ that factor through the normalisation of a nodal curve in the $m$-th Hirzebruch surface $\mathbb F_m$. We then give an existence theorem for nodal curves in $\mathbb F_m$ having fixed class and singular locus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08902 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Scrollar Invariants of Curves Mapping to a Hirzebruch Surface Redigolo, Riccardo Algebraic Geometry Commutative Algebra 14H50, 14H51, 14H60 In this note we analyse the scrollar invariants of $k:1$ covers of $\mathbb P^1$ that factor through the normalisation of a nodal curve in the $m$-th Hirzebruch surface $\mathbb F_m$. We then give an existence theorem for nodal curves in $\mathbb F_m$ having fixed class and singular locus. |
| title | The Scrollar Invariants of Curves Mapping to a Hirzebruch Surface |
| topic | Algebraic Geometry Commutative Algebra 14H50, 14H51, 14H60 |
| url | https://arxiv.org/abs/2602.08902 |