Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof

Genadi Levin, Weixiao Shen, Sebastian van Strien*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

In this paper we will give a short and elementary proof that critical relations unfold transversally in the space of rational maps.

Original languageAmerican English
Title of host publicationNew Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016
EditorsMaria José Pacifico, Pablo Guarino
PublisherSpringer
Pages201-220
Number of pages20
ISBN (Print)9783030168322
DOIs
StatePublished - 2019
Event70th Anniversary of Welington de Melo held at IMPA, 2016 - Rio de Janeiro, Brazil
Duration: 14 Nov 201617 Nov 2016

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume285
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference70th Anniversary of Welington de Melo held at IMPA, 2016
Country/TerritoryBrazil
CityRio de Janeiro
Period14/11/1617/11/16

Bibliographical note

Publisher Copyright:
© The Author(s) 2019.

Keywords

  • Holomorphic dynamics
  • Rational maps
  • Transversality

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