I-surfaces from surfaces with one exceptional unimodal point
| Autor: | Rollenske, Sönke, Torres, Diana |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with $K_X^2 =1$ and $\chi(\mathcal O_X) = 3$ 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 $E_{14}$. Comment: 27 pages, v2: improved presentation and minor corrections; to appear in Math. Nachrichten |
| Databáze: | arXiv |
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