Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912489406464000 |
|---|---|
| author | Chen, Wei |
| author_facet | Chen, Wei |
| contents | We study the algebraic exceptional set of a three-component curve $B$ with normal crossings on a Hirzebruch surface $\mathbb{F}_e$. If $K_{\mathbb{F}_{e}}+B$ is big and no component of $B$ is a fiber or the rational curve with negative self-intersection, we prove that the algebraic exceptional set is finite, and in most cases give it an effective bound. We also prove that the algebraic exceptional set coincides with the set of curves that are hyper-bitangent to $B$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13280 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Chen, Wei Algebraic Geometry 14H20, 14H45, 14J26 We study the algebraic exceptional set of a three-component curve $B$ with normal crossings on a Hirzebruch surface $\mathbb{F}_e$. If $K_{\mathbb{F}_{e}}+B$ is big and no component of $B$ is a fiber or the rational curve with negative self-intersection, we prove that the algebraic exceptional set is finite, and in most cases give it an effective bound. We also prove that the algebraic exceptional set coincides with the set of curves that are hyper-bitangent to $B$. |
| title | Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces |
| topic | Algebraic Geometry 14H20, 14H45, 14J26 |
| url | https://arxiv.org/abs/2507.13280 |