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math.AG2026
Uniform Unicellular Dessins d'Enfants with Trivial Automorphism Groups
Tatsuya Ohnishi
A Bely\uı function on a smooth projective algebraic curve defined over a number field determines a bipartite graph called a dessin d'enfant. We study the regularity and automorphis…
math.AG2026
Automorphism Groups of Uniform Dessins d'Enfants of Genus at Least Two
Tatsuya Ohnishi
For a smooth algebraic curve defined over a number field, one can associate a bipartite graph called a dessin d'enfant. We study the regularity and automorphism groups of dessins w…
math.AG2026
Regularity and Automorphism Groups of Dessins d'Enfants with Uniform Passports
Tatsuya Ohnishi
For a smooth algebraic curve defined over a number field, one can associate a bipartite graph known as a dessin d'enfant. In this paper, we investigate the regularity and automorph…