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Riemann surfaces with a large abelian group of automorphisms

Clelia Lomuto
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Abstract

In this paper we classify all Riemann surfaces having a large abelian group of automorphisms, that is having an abelian group of automorphism of order strictly bigger then $4(g-1)$, where $g$ denotes as usual the genus of the Riemann surface.

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Clelia Lomuto. 2005-07-14. Riemann surfaces with a large abelian group of automorphisms. https://arxiv.org/abs/math/0507300

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