论文标题

在限制上

On the containment $I^{(3)} \subseteq I^2$ and configurations of triple points in Böröczky line arrangements

论文作者

Kabat, Jakub

论文摘要

我们研究了Harbourne和Huneke提出的遏制问题的背景下,Böröczky的线条安排的三重点集。我们表明,在这些安排的类中,当行数等于12时,可以获得最小的封装$ i^{(3)} \ subseteq i^2 $的反例。

We study sets of triple points of Böröczky's arrangements of lines in the context of the containment problem proposed by Harbourne and Huneke. We show that in the class of those arrangements, the smallest counterexample to the containment $I^{(3)} \subseteq I^2$ is obtained when the number of lines is equal to 12.

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