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Matthieu Arfeux, Jan Kiwi, Irreducibility of periodic curves in cubic polynomial modu li space , Proc · 2023

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math.DS 1

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Independence of multipliers in several variables complex dynamics

math.DS · 2024-11-19 · conditional · novelty 7.0

For regular polynomial endomorphisms of C^n and endomorphisms of P^n, any family of as many multipliers as the moduli dimension, from distinct cycles of period at least four (or five in one exceptional case), is algebraically independent.

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  • Independence of multipliers in several variables complex dynamics math.DS · 2024-11-19 · conditional · none · ref 1

    For regular polynomial endomorphisms of C^n and endomorphisms of P^n, any family of as many multipliers as the moduli dimension, from distinct cycles of period at least four (or five in one exceptional case), is algebraically independent.