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Continuity of the green function in meromorphic families of polynomials

  • Université Paris-Saclay
  • Université de Picardie Jules Verne

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1471-1487
Number of pages17
JournalAlgebra and Number Theory
Volume12
Issue number6
DOIs
Publication statusPublished - 1 Jan 2018
Externally publishedYes

Keywords

  • Degeneration
  • Green function
  • Polynomial dynamics

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