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arXiv · 1912.01508

How many quasiplatonic curves?

Jan-Christoph Schlage-Puchta·Jürgen Wolfart
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Abstract

We show that the number of isomorphism classes of quasiplatonic Riemann surfaces of genus $\,\le g\,$ has a growth of type $\,g^{\log g}\,$. The number of non--isomorphic regular dessins of genus $\,\le g\,$ has the same growth type.

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Jan-Christoph Schlage-Puchta, Jürgen Wolfart. 2019-12-03. How many quasiplatonic curves?. https://arxiv.org/abs/1912.01508

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