Continuity of the green function in meromorphic families of polynomials

Charles Favre; Thomas Gauthier

doi:10.2140/ant.2018.12.1471

Continuity of the green function in meromorphic families of polynomials

Charles Favre
, Thomas Gauthier

Université Paris-Saclay
Université de Picardie Jules Verne

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

6 Citations (Scopus)

Résumé

We prove that along any marked point the Green function of a meromorphic family of polynomials parametrized by the punctured unit disk is the sum of a logarithmic term and a continuous function.

langue originale	Anglais
Pages (de - à)	1471-1487
Nombre de pages	17
journal	Algebra and Number Theory
Volume	12
Numéro de publication	6
Les DOIs	https://doi.org/10.2140/ant.2018.12.1471
état	Publié - 1 janv. 2018
Modification externe	Oui

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10.2140/ant.2018.12.1471

Contient cette citation

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title = "Continuity of the green function in meromorphic families of polynomials",

abstract = "We prove that along any marked point the Green function of a meromorphic family of polynomials parametrized by the punctured unit disk is the sum of a logarithmic term and a continuous function.",

keywords = "Degeneration, Green function, Polynomial dynamics",

author = "Charles Favre and Thomas Gauthier",

year = "2018",

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doi = "10.2140/ant.2018.12.1471",

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journal = "Algebra and Number Theory",

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AU - Gauthier, Thomas

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N2 - We prove that along any marked point the Green function of a meromorphic family of polynomials parametrized by the punctured unit disk is the sum of a logarithmic term and a continuous function.

AB - We prove that along any marked point the Green function of a meromorphic family of polynomials parametrized by the punctured unit disk is the sum of a logarithmic term and a continuous function.

KW - Degeneration

KW - Green function

KW - Polynomial dynamics

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DO - 10.2140/ant.2018.12.1471

M3 - Article

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EP - 1487

JO - Algebra and Number Theory

JF - Algebra and Number Theory

IS - 6

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Continuity of the green function in meromorphic families of polynomials

Résumé

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