Biblioteca de la Universidad Complutense de Madrid

On the properness of some algebraic equations appearing in Fuchsian Groups

Impacto



Díaz Sánchez, Raquel y Ushijima, Akira (2009) On the properness of some algebraic equations appearing in Fuchsian Groups. Topology Proceedings, 33 . pp. 81-106. ISSN 0146-4124

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 31 Diciembre 2020.

257kB

URL Oficial: http://topology.auburn.edu/tp/reprints/v33/tp33006p1.pdf




Resumen

In this paper we give necessary and sufficient conditions on three orientation-preserving hyperbolic isometries T1,T2,T3 so that for any point x ∈ H2 the orthogonal bisectors of the three segments with endpoints x, Ti(x) intersect. This is equivalent to proving the properness of certain algebraic sets. As a corollary, we give a new proof for the existence and density of generic fundamental polygons for cocompact Fuchsian groups.


Tipo de documento:Artículo
Palabras clave:Fuchsian groups and automorphic functions; Moduli of Riemann surfaces, Teichmüller theory
Materias:Ciencias > Matemáticas > Geometría
Código ID:15715
Referencias:

A. F. Beardon. The geometry of discrete groups, volume 91 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1995. Corrected reprint of the 1983 original.

M. Berger Geometry II, Springer: Berlin, 1996.

T. Jorgensen and A. Marden. Generic Fundamental Polyhedra for Kleinian Groups, holomorphic Functions and Moduli, Vol. II (Berkeley, CA, 1986), Math. Sci. Res. Inst. Publ., vol. 11 , Springer, New York, 1988, pp. 69-85.

J. M. Montesinos, Classical Tessellations and Three-Manifolds, Springer-Verlag, 1985.

L. Santaló Geometrías no euclidianas, Ed. Universitaria de Buenos Aires: Eudeba, 1961.

Depositado:21 Jun 2012 10:35
Última Modificación:21 Jun 2012 10:35

Sólo personal del repositorio: página de control del artículo