Fedor Pakovich

activity

20042026

collaborators

9 papers

math.CO2026

Complex Analysis and Existence Problems for plane Graphs

Fedor Pakovich

We show that a variety of known and new results concerning connected plane graphs whose vertex and face degrees satisfy prescribed uniformity conditions with at most two exceptions…

math.NT2025

Holomorphic maps sharing preimages over finitely generated fields

Fedor Pakovich

Let $R$ be a compact Riemann surface, and let $P : R \to P^{1} (C)$ and $Q : R \to P^{1} (C)$ be holomorphic maps. In this paper, we investigate the fo…

math.DS2025

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.DS2025

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 $m \geq 2$ , every decomposition of an iterate $A^{\circ n}$ , $n \geq 1$ , into a composition of indecomposable rational functi…

math.CV2025

On dessins d'enfants with equal supports

Fedor Pakovich

For a Belyi function $β : C P^{1} \to C P^{1}$ ramified only over the points $- 1, 1, \infty$ , a corresponding ``dessin d'enfant'' $D_{β}$ is def…

math.NT2025

Rational functions sharing preimages and height functions

Fedor Pakovich

Let $A$ and $B$ be non-constant rational functions over $C$ , and let $K \subset P^{1} (C)$ be an infinite set. Using height functions, we prove that the inc…

Complex Analysis and Existence Problems for plane Graphs

Holomorphic maps sharing preimages over finitely generated fields

On intertwined polynomials

Periodic curves for general endomorphisms of CP1×CP1

On dessins d'enfants with equal supports

Rational functions sharing preimages and height functions

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