4 papers
math.NT2026
An Explicit Belyi Map for the Wiman Sextic and Cusp Forms for a Noncongruence Subgroup
Madoka Horie, Takuya Yamauchi
In this paper, we explicitly determine an algebraic Belyi function on a unique smooth projective model of the Wiman sextic curve and describe its complex unifor…
math.NT2025
The -function of the surface parametrizing cuboids
Madoka Horie, Takuya Yamauchi
In this note, we compute the -function of the projective smooth surface over that parametrizes cuboids whose geometric properties are studied in detail by Stoll…
math.NT2025
Computing algebraic Belyi functions on Bring's curve
Madoka Horie, Takuya Yamauchi
In this paper, we explicitly compute two kinds of algebraic Belyi functions on Bring's curve. One is related to a congruence subgroup of and the other is r…
math.NT2022
Equivalence classes of dessins d'enfants with two vertices
Madoka Horie
Let be a positive integer. For any positive integer and any positive divisor of , we enumerate the equivalence classes of dessins d'enfants with edges, …