Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-14T22:22:49.601Z Has data issue: false hasContentIssue false
  • English
  • Français

A bound for the number of automorphisms of an arithmetic Riemann surface

Published online by Cambridge University Press:  24 February 2005

MIKHAIL BELOLIPETSKY  and
GARETH A. JONES
MIKHAIL BELOLIPETSKY
Affiliation:
Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia. e-mail: mbel@math.nsc.ru
GARETH A. JONES
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Southampton, SO17 1BJ. e-mail: gaj@maths.soton.ac.uk
Get access Rights & Permissions [Opens in a new window]

Abstract

We show that for every $g\geq 2$ there is a compact arithmetic Riemann surface of genus $g$ with at least $4(g-1)$ automorphisms, and that this lower bound is attained by infinitely many genera, the smallest being 24.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 2 , March 2005 , pp. 289 - 299
Copyright
2005 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)