Starting with the ground-breaking work of Cook II, Harbourne, Migliore and Nagel, there has been a lot of interest in unexpected hypersurfaces. In the last couple of months a considerable number of new examples and new phenomena has been observed and reported on. All examples studied so far had just one fat point. In this note we introduce a new series of examples, which establishes for the first time the existence of unexpected hypersurfaces with multiple fat points. The key underlying idea is to study Fermat-type configurations of points in projective spaces.

中文翻译：

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具有多个脂肪点的意外超曲面

从 Cook II、Harbourne、Migliore 和 Nagel 的开创性工作开始，人们对意想不到的超曲面产生了很多兴趣。在过去的几个月里，已经观察到并报告了大量的新例子和新现象。到目前为止研究的所有示例都只有一个胖点。在这篇笔记中，我们介绍了一系列新的例子，这些例子首次确定了具有多个脂肪点的意外超曲面的存在。关键的基本思想是研究射影空间中点的费马型配置。