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On 3-syzygy and unexpected plane curves
Geometriae Dedicata ( IF 0.5 ) Pub Date : 2021-02-04 , DOI: 10.1007/s10711-021-00602-5
Grzegorz Malara , Piotr Pokora , Halszka Tutaj-Gasińska

In this note we study curves (arrangements) in the complex projective plane which can be considered as generalizations of free curves. We construct families of arrangements which are nearly free and possess interesting geometric properties. More generally, we study 3-syzygy curve arrangements and we present examples that admit unexpected curves.



中文翻译:

在3音符和意外的平面曲线上

在本说明中,我们研究复杂投影平面中的曲线(排列),可以将其视为自由曲线的推广。我们构建几乎免费的安排族,并拥有有趣的几何特性。更广泛地讲,我们研究3曲线曲线的排列方式,并给出允许出现意外曲线的示例。

更新日期:2021-02-04
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