On families of Riemann surfaces with automorphisms

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.

19 pages, To appear in Journal of Pure and Applied Algebra

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Cited by in corpus (2)

• On large prime actions on Riemann surfaces
• Nilpotent groups of automorphisms of families of Riemann surfaces