Fedor Pakovich

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math.DS2026

On intertwined polynomials

Fedor Pakovich

Let $A_{1}$ and $A_{2}$ be polynomials of degree at least two over $C$ . We say that $A_{1}$ and $A_{2}$ are intertwined if the endomorphism $(A_{1}, A_{2})$ of $\mathbb C\mathbb P^1 \t…

math.DS2026

Periodic curves for general endomorphisms of $C P^{1} \times C P^{1}$

Fedor Pakovich

We show that for a general rational function $A$ of degree $m \geq 2$ , any decomposition of its iterate $A^{\circ n}$ , $n \geq 1$ , into a composition of indecomposable rational fun…

On intertwined polynomials

Periodic curves for general endomorphisms of CP1×CP1

Periodic curves for general endomorphisms of $C P^{1} \times C P^{1}$