A bound for the number of automorphisms of an arithmetic Riemann surface
Group Theory
2007-05-23 v2 Algebraic Geometry
Abstract
We show that for every g > 1 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.
Cite
@article{arxiv.math/0306105,
title = {A bound for the number of automorphisms of an arithmetic Riemann surface},
author = {M. Belolipetsky and G. A. Jones},
journal= {arXiv preprint arXiv:math/0306105},
year = {2007}
}
Comments
11 pages, to appear in Math. Proc. Camb. Phil. Soc