Riemann surfaces with a large abelian group of automorphisms

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.

9 pages; LaTeX

Cited by in corpus (2)

• A note on large automorphism groups of compact Riemann surfaces
• On Riemann surfaces of genus $g$ with $4g-4$ automorphisms