Riemann existence theorem and construction of real algebraic curves.
type: Item
instance of: scholarly article
title: Riemann existence theorem and construction of real algebraic curves.
zbMATH Open document ID: 1078.14083
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2005-01-03T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73615
review text: Using the Riemann existence theorem, the author shows the existence of certain real rational maps~\(f\) that are of the form \(D/q^2\), where~\(D=4p^3+27q^2\). The author then studies the topology of the real algebraic curve defined by the equation \(y^3+p(x)y+q(x)=0\), and proves the existence of some new topological types of real algebraic curves on real Hirzebruch surfaces.
reviewed by: Johannes Huisman
Mathematics Subject Classification ID: 14P05
zbMATH DE Number: 2124651
author: Stepan Orevkov
MaRDI profile type: Publication
OpenAlex ID: W2013885140
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DOI: 10.5802/AFST.1060
description: scientific article; zbMATH DE number 2124651