The Picard index of a surface with torus action
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909363371769856 |
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| author | Springer, Justus |
| author_facet | Springer, Justus |
| contents | We consider normal rational projective surfaces with torus action and provide a formula for their Picard index, that means the index of the Picard group inside the divisor class group. As an application, we classify the log del Pezzo surfaces with torus action of Picard number one up to Picard index 10,000. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08879 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Picard index of a surface with torus action Springer, Justus Algebraic Geometry 14J26 (Primary) 14L30, 14C22 (Secondary) We consider normal rational projective surfaces with torus action and provide a formula for their Picard index, that means the index of the Picard group inside the divisor class group. As an application, we classify the log del Pezzo surfaces with torus action of Picard number one up to Picard index 10,000. |
| title | The Picard index of a surface with torus action |
| topic | Algebraic Geometry 14J26 (Primary) 14L30, 14C22 (Secondary) |
| url | https://arxiv.org/abs/2308.08879 |