论文标题

在带有节点,tacnodes和普通三重点的圆锥线布置的几乎烦恼中

On the nearly freeness of conic-line arrangements with nodes, tacnodes, and ordinary triple points

论文作者

Gałecka, Aleksandra

论文摘要

在本说明中,我们提供了具有节点,tacnodes和普通三重点的复杂平面中几乎自由圆锥线排列的部分分类。在这种情况下,我们的理论界限告诉我们,这种安排的程度从上面有$ 12 $。我们构建了几乎免费的圆锥线安排的示例,其学位为$ 3,4,5,6,7 $,我们证明,$ 10 $,$ 11 $和$ 12 $的程度没有这样的安排。

In the present note we provide a partial classification of nearly free conic-line arrangements in the complex plane having nodes, tacnodes, and ordinary triple points. In this setting, our theoretical bound tells us that the degree of such an arrangement is bounded from above by $12$. We construct examples of nearly free conic-line arrangements having degree $3,4,5,6,7$, and we prove that in degree $10$, $11$, and $12$ there is no such arrangement.

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