Full intrinsic quadrics of dimension two
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915372556353536 |
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| author | Hausen, Jürgen Király, Katharina |
| author_facet | Hausen, Jürgen Király, Katharina |
| contents | A full intrinsic quadric is a normal complete variety with a finitely generated Cox ring defined by a single quadratic relation of full rank. We describe all surfaces of this type explicitly via local Gorenstein indices. As applications, we present upper and lower bounds in terms of the Gorenstein index for the degree, the log canonicity and the Picard index. Moreover, we determine all full intrinsic quadric surfaces admitting a Kähler-Einstein metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08293 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Full intrinsic quadrics of dimension two Hausen, Jürgen Király, Katharina Algebraic Geometry 14L30, 14J26 A full intrinsic quadric is a normal complete variety with a finitely generated Cox ring defined by a single quadratic relation of full rank. We describe all surfaces of this type explicitly via local Gorenstein indices. As applications, we present upper and lower bounds in terms of the Gorenstein index for the degree, the log canonicity and the Picard index. Moreover, we determine all full intrinsic quadric surfaces admitting a Kähler-Einstein metric. |
| title | Full intrinsic quadrics of dimension two |
| topic | Algebraic Geometry 14L30, 14J26 |
| url | https://arxiv.org/abs/2310.08293 |