M-curves of degree 9: New prohibitions
type: Item
instance of: scholarly article
title: M-curves of degree 9: New prohibitions
zbMATH Open document ID: 0619.14017
DOI: 10.1007/BF01159900
published in: Mathematical Notes
publication date: 1986-01-01T00:00:00Z
review text: The paper contains some new results about nonexistence of singular plane real algebraic curves F of degree 9 with maximal (for the given degree \(9)\) number of connected components and prescribed topology of the pair \(({\mathbb{R}}P^ 2,F)\). There are 1723 a priori possible topology types of the pair \(({\mathbb{R}}P^ 2,F)\). The author proves that 420 of them are excluded, in addition to 52 types excluded before (by Th. Fiedler).
Mathematics Subject Classification ID: 14H99
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14Pxx
Mathematics Subject Classification ID: 14F45
zbMATH DE Number: 4004352
zbMATH Keywords: M-curve
zbMATH Keywords: nonexistence of singular plane real algebraic curves
author: A. B. Korchagin
MaRDI profile type: Publication
cites work: Q3877793
description: scientific article; zbMATH DE number 4004352