I-surfaces from surfaces with one exceptional unimodal point

Pub Date : 2024-02-23 DOI:10.1002/mana.202300218

Sönke Rollenske, Diana Torres

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Abstract

We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with $K_{X}^{2} = 1$ and $χ (O_{X}) = 3$ 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 $E_{12}$ , $E_{13}$ , $E_{14}$ .

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从有一个特殊单模态点的曲面出发的 I 型曲面

我们补充了 Gallardo、Pearlstein、Schaffler 和 Zhang 的最新研究成果，证明了他们构建的具有和的稳定曲面是唯一通过施加例外单模态双点而产生的曲面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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