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arXiv · 2004.14811

On families of Riemann surfaces with automorphisms

Milagros Izquierdo·Sebastián Reyes-Carocca·Anita M. Rojas
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Abstract

In this article we determine the maximal possible order of the automorphism group of the form $ag + b$, where $a$ and $b$ are integers, of a complex three and four-dimensional family of compact Riemann surfaces of genus $g$, appearing for all genus. In addition, we construct and describe explicit complex three and four-dimensional families possessing these maximal number of automorphisms.

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Milagros Izquierdo, Sebastián Reyes-Carocca, Anita M. Rojas. 2020-04-28. On families of Riemann surfaces with automorphisms. https://doi.org/10.1016/j.jpaa.2021.106704

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