Fedor Pakovich

collaborators

8 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.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…

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.NT2025

Algebraic functions with infinitely many values in a number field

Fedor Pakovich

We describe algebraic curves $X : F (x, y) = 0$ defined over $Q$ that satisfy the following property: there exist a number field $k$ and an infinite set $S \su…

math.CV2025

On dessins d'enfants with equal supports

Fedor Pakovich

For a Belyi function $I^^{2} : C P^{1} \to C P^{1}$ ramified only over the points $- 1, 1, \infty$ , a corresponding ``dessin d'enfant'' $D_{I^}^{2}$ is d…

Complex Analysis and Existence Problems for plane Graphs

On intertwined polynomials

Periodic curves for general endomorphisms of CP1×CP1

Holomorphic maps sharing preimages over finitely generated fields

Algebraic functions with infinitely many values in a number field

On dessins d'enfants with equal supports

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