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arXiv · 2006.07531

A family of $(p,n)$-gonal Riemann surfaces with several $(p,n)$-gonal groups

Sebastián Reyes-Carocca
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Abstract

Let $p \geqslant 3$ be a prime number and let $n \geqslant 0$ be an integer such that $p-1$ divides $n.$ In this short note we construct a family of $(p,n)$-gonal Riemann surfaces of maximal genus $2np+(p-1)^2$ with more than one $(p,n)$-gonal group.

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Sebastián Reyes-Carocca. 2020-06-13. A family of $(p,n)$-gonal Riemann surfaces with several $(p,n)$-gonal groups. https://doi.org/10.1007/s00013-020-01548-y

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