A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908708691247104 |
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| author | Nagaoka, Masaru |
| author_facet | Nagaoka, Masaru |
| contents | This paper reviews Lacini's classification [Lac24] of log del Pezzo surfaces of rank one in characteristics different from two and three, with a focus on where and how Lacini enhanced the techniques of Keel and McKernan [KM99]. We point out that there is at most one log del Pezzo surface that may have been erroneously omitted from the list in [Lac24, §6.1], namely the surface in Example 3.13. We also extend the results of [Lac24 §4.2] to arbitrary characteristic. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_12294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three Nagaoka, Masaru Algebraic Geometry Primary 14J26, 14G17, Secondary 14J45 This paper reviews Lacini's classification [Lac24] of log del Pezzo surfaces of rank one in characteristics different from two and three, with a focus on where and how Lacini enhanced the techniques of Keel and McKernan [KM99]. We point out that there is at most one log del Pezzo surface that may have been erroneously omitted from the list in [Lac24, §6.1], namely the surface in Example 3.13. We also extend the results of [Lac24 §4.2] to arbitrary characteristic. |
| title | A review of Lacini's classification of rank one log del Pezzo surfaces in characteristic different from two and three |
| topic | Algebraic Geometry Primary 14J26, 14G17, Secondary 14J45 |
| url | https://arxiv.org/abs/2512.12294 |