Minimal compactifications of the affine plane with only star-shaped singularities
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916744775335936 |
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| author | Sawahara, Masatomo |
| author_facet | Sawahara, Masatomo |
| contents | We consider minimal compactifications of the complex affine plane. Minimal compactifications of the affine plane with at most log canonical singularities are classified. Moreover, every minimal compactification of the affine plane with at most log canonical singularities has only star-shaped singular points. In this article, we classify minimal compactifications of the affine plane with only star-shaped singular points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07987 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal compactifications of the affine plane with only star-shaped singularities Sawahara, Masatomo Algebraic Geometry 14J17, 14J26, 14R10, 32J05 We consider minimal compactifications of the complex affine plane. Minimal compactifications of the affine plane with at most log canonical singularities are classified. Moreover, every minimal compactification of the affine plane with at most log canonical singularities has only star-shaped singular points. In this article, we classify minimal compactifications of the affine plane with only star-shaped singular points. |
| title | Minimal compactifications of the affine plane with only star-shaped singularities |
| topic | Algebraic Geometry 14J17, 14J26, 14R10, 32J05 |
| url | https://arxiv.org/abs/2408.07987 |