On conic-line arrangements with nodes, tacnodes, and ordinary triple points

被引：10

作者：

Dimca, Alexandru ^{[1
,2
]}

Pokora, Piotr ^{[3
]}

机构：

[1] Univ Cote dAzur, LJAD, CNRS, Nice, France

[2] Simion Stoilow Inst Math, POB 1-764, Bucharest 014700, Romania

[3] Pedag Univ Krakow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2022年 / 56卷 / 02期

关键词：

Conic-line arrangements; Nodes; Tacnodes; Freeness; Nearly freeness; SEMICONTINUITY; CONFIGURATIONS; FREENESS; NUMBER;

D O I：

10.1007/s10801-022-01116-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study conic-line arrangements having nodes, tacnodes, and ordinary triple points as singularities. We provide combinatorial constraints on such arrangements, and we give the complete classification of free arrangements in this class.

引用

页码：403 / 424

页数：22

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