论文标题
在$ 3 $ - 合格和意外的平面曲线
On $3$-syzygy and unexpected plane curves
论文作者
论文摘要
在本说明中,我们在复杂的投影平面中研究曲线(布置),该曲线可以被视为自由曲线的概括。我们构建了几乎是免费的安排家族,并具有有趣的几何特性。更普遍地,我们研究了$ 3 $ - 合格的安排,并提出了承认意外曲线的例子。
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 arrangements and we present examples that admit unexpected curves.