3 papers
math.GT2026
Almost Regular Coverings of the Sphere: Realizability. I. Tetrahedral Case
Nikolai M. Adrianov, Elena M. Kreines
We prove the realizability of genus- branch data of the form and , where , , are…
math.AG2023
Belyi functions of the special weighted trees of -type
Nikolai M. Adrianov, Alexander M. Vatuzov
In this paper we calculate the Belyi functions of the weighted trees of -type with primitive special edge rotation groups. There are 21 Galois orbits of these trees: 6 ratio…
math.AG2023
Fullerenes and Belyi functions
Nikolai M. Adrianov, George B. Shabat
The paper is an attempt to apply the theory of dessins d'enfants to the theory of fullerenes. The classical results concerning the calculation of the dodecahedron Belyi function ar…