科研之友
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摘要
In this note we provide some remarks to a recent paper of Gromadzki, Weaver and Wootton about quasiplatonic (p, n)-gonal surfaces, where, among the others, they prove that for every prime p and n %26gt; 1 there are just finitely many quasiplatonic strongly (p, n)-gonal surfaces. They remarked that this does not hold for n = 0, 1 and p = 2. We provide examples to see that the above property fails also for such n for every prime p. The authors also conjectured that the strong hypothesis is essential which is false since for given genus g a parts per thousand yen 2 there are only finitely many quasiplatonic surfaces up to conformal equivalence.
- 出版日期2012-10
