Irreducibility of periodic curves in cubic polynomial moduli space

Matthieu Arfeux; Jan Kiwi

doi:10.1112/plms.12553

Irreducibility of periodic curves in cubic polynomial moduli space

Matthieu Arfeux, Jan Kiwi

INSTITUTE OF MATHEMATICS

Research output: Contribution to journal › Article › peer-review

Abstract

In the moduli space of complex cubic polynomials with a marked critical point, given any (Formula presented.), we prove that the loci formed by polynomials with the marked critical point periodic of period (Formula presented.) is an irreducible curve. Thus, answering a question posed by Milnor in the 1990s.

Original language	English
Pages (from-to)	792-835
Number of pages	44
Journal	Proceedings of the London Mathematical Society
Volume	127
Issue number	3
DOIs	https://doi.org/10.1112/plms.12553
State	Published - Sep 2023

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abstract = "In the moduli space of complex cubic polynomials with a marked critical point, given any (Formula presented.), we prove that the loci formed by polynomials with the marked critical point periodic of period (Formula presented.) is an irreducible curve. Thus, answering a question posed by Milnor in the 1990s.",

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Irreducibility of periodic curves in cubic polynomial moduli space

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