I-surfaces from surfaces with one exceptional unimodal point. (English) Zbl 07923564
Summary: 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 \(E_{12}, E_{13}, E_{14}\).
© 2024 The Authors. Mathematische Nachrichten published by Wiley-VCH GmbH.
© 2024 The Authors. Mathematische Nachrichten published by Wiley-VCH GmbH.
MSC:
| 14J29 | Surfaces of general type |
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