Dynamical systems for rational normal curves
type: Item
instance of: scholarly article
title: Dynamical systems for rational normal curves
zbMATH Open document ID: 1197.14009
DOI: 10.1007/BF03191191
author: José Antonio Vargas
published in: Collectanea Mathematica
publication date: 2010-03-04T00:00:00Z
full work available at URL: https://eudml.org/doc/42144
full work available at URL: http://collectanea.ub.edu/index.php/Collectanea/article/viewArticle/5129
review text: The author constructs dynamical systems in \(\mathbb P^n \), using \((n + 1) \times (n + 1)\) matrices of linear forms in \(n + 1\) variables, such that the fixed point sets are rational normal curves minus one point. These matrices provide canonical forms for the triple action of PGL\(_{n+1}\) on the projective space of such matrices. These dynamical systems include parameters identified with points in \(\mathbb P^{n - 1} \). He finds conditions on these parameters to guarantee that any point in a dense open subset of \(\mathbb{P}^n\) converges to a fixed point. He also determines the domain of attraction of every fixed point.
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 14Q05
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5677592
zbMATH Keywords: dynamical system
zbMATH Keywords: rational normal curve
describes a project that uses: Macaulay2
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5677592