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Counting quasiplatonic cyclic n-gonal surfaces Camacho, Charles

Description

Define QC$(n)$ to be the number of isomorphisms classes of quasiplatonic cyclic $n$-gonal surfaces. We use formulas of R.\ Benim and A.\ Wootton to describe a method for computing QC$(n)$. We also relate QC$(n)$ to the number of regular dessins d'enfants having a cyclic group of automorphisms of order $n$.

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