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arXiv · 1812.00705

On Riemann surfaces of genus $g$ with $4g-4$ automorphisms

Sebastián Reyes-Carocca
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Abstract

In this article we study compact Riemann surfaces with a non-large group of automorphisms of maximal order; namely, compact Riemann surfaces of genus $g$ with a group of automorphisms of order $4g-4.$ Under the assumption that $g-1$ is prime, we provide a complete classification of them and determine isogeny decompositions of the corresponding Jacobian varieties.

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Sebastián Reyes-Carocca. 2018-12-03. On Riemann surfaces of genus $g$ with $4g-4$ automorphisms. https://doi.org/10.1007/s11856-020-2010-3

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