On rational cuspidal plane curves and the local cohomology of Jacobian rings

被引：5

作者：

Dimca, Alexandru ^{[1
]}

机构：

[1] Univ Cote dAzur, CNRS, LJAD, F-06108 Nice 2, France

来源：

COMMENTARII MATHEMATICI HELVETICI | 2019年 / 94卷 / 04期

关键词：

Jacobian ideal; Tjurina number; free curve; nearly free curve; LINE ARRANGEMENTS; FREENESS;

D O I：

10.4171/CMH/471

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note gives the complete projective classification of rational, cuspidal plane curves of degree at least 6, and having only weighted homogeneous singularities. It also sheds new light on some previous characterizations of free and nearly free curves in terms of Tjurina numbers. Finally, we suggest a stronger form of Terao's conjecture on the freeness of a line arrangement being determined by its combinatorics.

引用

页码：689 / 700

页数：12

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