Free and nearly free curves vs. rational cuspidal plane curves
type: Item
instance of: scholarly article
title: Free and nearly free curves vs. rational cuspidal plane curves
zbMATH Open document ID: 1391.14057
DOI: 10.4171/PRIMS/54-1-6
author: Alexandru Dimca
author: Gabriel Sticlaru
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2018-04-04T00:00:00Z
review text: In this article the authors introduce the definitions of a free curve and a nearly free curve. They also show properties that these curves satisfy and they exhibit interesting examples. The main result shows that a rational cuspidal curve is either a free curve or a nearly free curve when the degree of the curve is either even or a prime power, or when the group of curve is abelian.
reviewed by: Daiane Alice Henrique Ament
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14H20
zbMATH DE Number: 6855740
zbMATH Keywords: free divisor
zbMATH Keywords: rational cuspidal curve, Jacobian ideal
zbMATH Keywords: Milnor algebra
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6855740