Logarithmic derivations associated to line arrangements

被引：2

作者：

Burity, Ricardo ^{[1
]}

Tohaneanu, Stefan O. ^{[2
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

[2] Univ Idaho, Dept Math, Moscow, ID 83844 USA

来源：

JOURNAL OF ALGEBRA | 2021年 / 581卷

关键词：

Hyperplane arrangements; Logarithmic derivation; Syzygy; CURVE ARRANGEMENTS; FREENESS;

D O I：

10.1016/j.jalgebra.2021.03.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give full classification of rank 3 line arrangements in P-2 (over a field of characteristic 0) that have a minimal logarithmic derivation of degree 3. The classification presents their defining polynomials, up to a change of variables, with their corresponding affine pictures. We also analyze the shape of such a logarithmic derivation, towards obtaining criteria for a line arrangement to possess a cubic minimal logarithmic derivation. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：327 / 352

页数：26

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