Symmetric sextics in the real projective plane and auxiliary conics
type: Item
instance of: scholarly article
title: Symmetric sextics in the real projective plane and auxiliary conics
zbMATH Open document ID: 1077.14088
DOI: 10.1023/B:JOTH.0000008743.36321.72
author: Ilia Itenberg
author: V. S. Itenberg
published in: Journal of Mathematical Sciences (New York)
publication date: 2005-06-23T00:00:00Z
review text: A real plane algebraic curve is called symmetric if its complexification is invariant with respect to a real holomorphic involution of the plane. The paper is devoted to a simple geometric proof for the known classification of real non-singular symmetric sextic curves in the plane. The authors' approach consists in the use of auxiliary lines and conics to show the triviality of the monodromy group, which is an obstruction for the existence of a symmetric curve in the given isotopy class. Existing symmetric sextics are obtained by means of the patchworking construction.
reviewed by: Eugenii I. Shustin
Mathematics Subject Classification ID: 14P25
Mathematics Subject Classification ID: 14H37
zbMATH DE Number: 2182749
zbMATH Keywords: real plane algebraic curve
zbMATH Keywords: monodromy group
zbMATH Keywords: patchworking construction
MaRDI profile type: Publication
full work available at URL: b:joth.0000008743.36321.72
OpenAlex ID: W2059861848
description: scientific article; zbMATH DE number 2182749