On the freeness of Boroczky line arrangements

被引：0

作者：

Kabat, Jakub ^{[1
]}

机构：

[1] Inst Matemat UP, Podchorazych 2, PL-30084 Krakow, Poland

来源：

PERIODICA MATHEMATICA HUNGARICA | 2019年 / 78卷 / 01期

关键词：

Line arrangements; Freeness; Hirzebruch inequality; Boroczky arrangements; 52C35; 51D20; 13C10; REAL;

D O I：

10.1007/s10998-018-0250-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 Boroczky line arrangements in the sense of Furedi and Palasti (Proc Am Math Soc 92(4):561-566, 1984), except exactly three cases, are not free.

引用

页码：31 / 37

页数：7

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