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

Genadi Levin; Weixiao Shen; Sebastian van Strien

doi:10.1007/978-3-030-16833-9_11

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

Genadi Levin, Weixiao Shen, Sebastian van Strien^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 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 language	English
Title of host publication	New Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016
Editors	Maria José Pacifico, Pablo Guarino
Publisher	Springer
Pages	201-220
Number of pages	20
ISBN (Print)	9783030168322
DOIs	https://doi.org/10.1007/978-3-030-16833-9_11
State	Published - 2019
Event	70th Anniversary of Welington de Melo held at IMPA, 2016 - Rio de Janeiro, Brazil Duration: 14 Nov 2016 → 17 Nov 2016

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	285
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	70th Anniversary of Welington de Melo held at IMPA, 2016
Country/Territory	Brazil
City	Rio de Janeiro
Period	14/11/16 → 17/11/16

Bibliographical note

Publisher Copyright:
© The Author(s) 2019.

Keywords

Holomorphic dynamics
Rational maps
Transversality

Access to Document

10.1007/978-3-030-16833-9_11

Cite this

Levin, G., Shen, W., & van Strien, S. (2019). Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof. In M. J. Pacifico, & P. Guarino (Eds.), New Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016 (pp. 201-220). (Springer Proceedings in Mathematics and Statistics; Vol. 285). Springer. https://doi.org/10.1007/978-3-030-16833-9_11

Levin, Genadi ; Shen, Weixiao ; van Strien, Sebastian. / Transversality for Critical Relations of Families of Rational Maps : An Elementary Proof. New Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016. editor / Maria José Pacifico ; Pablo Guarino. Springer, 2019. pp. 201-220 (Springer Proceedings in Mathematics and Statistics).

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keywords = "Holomorphic dynamics, Rational maps, Transversality",

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Levin, G, Shen, W & van Strien, S 2019, Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof. in MJ Pacifico & P Guarino (eds), New Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016. Springer Proceedings in Mathematics and Statistics, vol. 285, Springer, pp. 201-220, 70th Anniversary of Welington de Melo held at IMPA, 2016, Rio de Janeiro, Brazil, 14/11/16. https://doi.org/10.1007/978-3-030-16833-9_11

Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof. / Levin, Genadi; Shen, Weixiao; van Strien, Sebastian.
New Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016. ed. / Maria José Pacifico; Pablo Guarino. Springer, 2019. p. 201-220 (Springer Proceedings in Mathematics and Statistics; Vol. 285).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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

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Levin G, Shen W, van Strien S. Transversality for Critical Relations of Families of Rational Maps: An Elementary Proof. In Pacifico MJ, Guarino P, editors, New Trends in One-Dimensional Dynamics - In Honour of Welington de Melo on the Occasion of His 70th Birthday IMPA 2016. Springer. 2019. p. 201-220. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-030-16833-9_11

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

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