English

How many quasiplatonic curves?

Group Theory 2019-12-04 v1

Abstract

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

Cite

@article{arxiv.1912.01508,
  title  = {How many quasiplatonic curves?},
  author = {Jan-Christoph Schlage-Puchta and Jürgen Wolfart},
  journal= {arXiv preprint arXiv:1912.01508},
  year   = {2019}
}
R2 v1 2026-06-23T12:34:36.423Z