An example of degeneration on the noded Schottky space.

@article{Hidalgo1998,
abstract = {In these notes we construct explicit examples of degenerations on the noded Schottky space of genus g ≥ 3. The particularity of these degenerations is the invariance under the action of a dihedral group of order 2g. More precisely, we find a two-dimensional complex manifold in the Schottky space such that all groups (including the limit ones in the noded Schottky space) admit a fixed topological action of a dihedral group of order 2g as conformal automorphisms.},
author = {Hidalgo, Rubén A.},
journal = {Revista Matemática Complutense},
keywords = {Superficies Riemann; Grupos de automorfismos; Espacio topológico compacto; Degeneración; Nodos; Grupos de Moebius; Superficies de Klein; Schottky groups},
language = {eng},
number = {1},
pages = {165-183},
title = {An example of degeneration on the noded Schottky space.},
url = {http://eudml.org/doc/44471},
volume = {11},
year = {1998},
}

TY - JOUR
AU - Hidalgo, Rubén A.
TI - An example of degeneration on the noded Schottky space.
JO - Revista Matemática Complutense
PY - 1998
VL - 11
IS - 1
SP - 165
EP - 183
AB - In these notes we construct explicit examples of degenerations on the noded Schottky space of genus g ≥ 3. The particularity of these degenerations is the invariance under the action of a dihedral group of order 2g. More precisely, we find a two-dimensional complex manifold in the Schottky space such that all groups (including the limit ones in the noded Schottky space) admit a fixed topological action of a dihedral group of order 2g as conformal automorphisms.
LA - eng
KW - Superficies Riemann; Grupos de automorfismos; Espacio topológico compacto; Degeneración; Nodos; Grupos de Moebius; Superficies de Klein; Schottky groups
UR - http://eudml.org/doc/44471
ER -