I-surfaces from surfaces with one exceptional unimodal point
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_ | 1866917577277571072 |
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| author | Rollenske, Sönke Torres, Diana |
| author_facet | Rollenske, Sönke Torres, Diana |
| contents | We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with $K_X^2 =1$ and $χ(\mathcal O_X) = 3$ they construct are indeed the only ones arising from imposing an exceptional unimodal double point.
In addition, we explicitly describe the birational type of the surfaces constructed from singularities of type $E_{12}$, $E_{13}$, and $E_{14}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01316 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | I-surfaces from surfaces with one exceptional unimodal point Rollenske, Sönke Torres, Diana Algebraic Geometry 14J10, 14J29, 14E05 We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with $K_X^2 =1$ and $χ(\mathcal O_X) = 3$ they construct are indeed the only ones arising from imposing an exceptional unimodal double point. In addition, we explicitly describe the birational type of the surfaces constructed from singularities of type $E_{12}$, $E_{13}$, and $E_{14}$. |
| title | I-surfaces from surfaces with one exceptional unimodal point |
| topic | Algebraic Geometry 14J10, 14J29, 14E05 |
| url | https://arxiv.org/abs/2305.01316 |