Combinatorial structure of low degree rational curves on a smooth Hermitian 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_ | 1866908827702525952 |
|---|---|
| author | Ojiro, Norifumi |
| author_facet | Ojiro, Norifumi |
| contents | A smooth Hermitian surface $X$ is a projective surface isomorphic to the Fermat surface of degree $q+1$ in positive characteristic. We study incidence relations of the rational curves of degree $q+1$ contained in $X$, and show that such curves produce a family of certain strongly regular graphs and association schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10842 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Combinatorial structure of low degree rational curves on a smooth Hermitian surface Ojiro, Norifumi Algebraic Geometry Combinatorics 51E12, 51E20, 51E25, 05E14, 05E18, 05E30 A smooth Hermitian surface $X$ is a projective surface isomorphic to the Fermat surface of degree $q+1$ in positive characteristic. We study incidence relations of the rational curves of degree $q+1$ contained in $X$, and show that such curves produce a family of certain strongly regular graphs and association schemes. |
| title | Combinatorial structure of low degree rational curves on a smooth Hermitian surface |
| topic | Algebraic Geometry Combinatorics 51E12, 51E20, 51E25, 05E14, 05E18, 05E30 |
| url | https://arxiv.org/abs/2602.10842 |