Classifying log del Pezzo surfaces with torus action
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866908396797558784 |
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| author | Haettig, Daniel Hausen, Juergen Springer, Justus |
| author_facet | Haettig, Daniel Hausen, Juergen Springer, Justus |
| contents | We consider log del Pezzo surfaces coming with a non-trivial torus action. Such a surface is 1/k-log canonical if it allows a resolution of singularities with discrepanies all greater or equal to 1/k-1. We provide a concrete classification algorithm for fixed k and give explicit results for k=1, 2 and 3. This comprises in particular the cases of Gorenstein index 1, 2 and 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_03095 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classifying log del Pezzo surfaces with torus action Haettig, Daniel Hausen, Juergen Springer, Justus Algebraic Geometry 14L30, 14J26, 14M25 We consider log del Pezzo surfaces coming with a non-trivial torus action. Such a surface is 1/k-log canonical if it allows a resolution of singularities with discrepanies all greater or equal to 1/k-1. We provide a concrete classification algorithm for fixed k and give explicit results for k=1, 2 and 3. This comprises in particular the cases of Gorenstein index 1, 2 and 3. |
| title | Classifying log del Pezzo surfaces with torus action |
| topic | Algebraic Geometry 14L30, 14J26, 14M25 |
| url | https://arxiv.org/abs/2302.03095 |