On the freeness of Böröczky line arrangements

被引：0
作者：
Jakub Kabat
机构：
[1] Instytut Matematyki UP,
来源：
Periodica Mathematica Hungarica | 2019年 / 78卷
关键词：
Line arrangements; Freeness; Hirzebruch inequality; Böröczky arrangements; 52C35; 51D20; 13C10;
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学科分类号：
摘要：
In the present note, we focus on the freeness and some combinatorial properties of line arrangements in the projective plane having only double and triple points. The main result shows that for this class of line arrangements the freeness property is combinatorially determined. As a corollary, we show that Böröczky line arrangements in the sense of Füredi and Palásti (Proc Am Math Soc 92(4):561–566, 1984), except exactly three cases, are not free.
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页码：31 / 37
页数：6
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