A bound for the number of automorphisms of an arithmetic Riemann surface
BELOLIPETSKY, MIKHAIL; JONES, GARETH A.; BELOLIPETSKY MIKHAIL; Sobolev Institute of Mathematics; JONES GARETH A.; University of Southampton
Журнал:
Mathematical Proceedings of the Cambridge Philosophical Society
Дата:
2005
Аннотация:
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.
134.6Кб