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.
@article{urn:eudml:doc:44471,
title = {An example of degeneration on the noded Schottky space.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {11},
year = {1998},
pages = {165-183},
zbl = {0907.30044},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44471}
}
Hidalgo, Rubén A. An example of degeneration on the noded Schottky space.. Revista Matemática de la Universidad Complutense de Madrid, Tome 11 (1998) pp. 165-183. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44471/