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$%R. A. Hidalgo, An example of degeneration on the noded Schottky space, Rev. Mat. Complut. 11 (1998), no. 1, 165183.%$

An Example of Degeneration on the Noded Schottky Space
Rubén A. HIDALGO
Departamento de Matemáticas
Universidad Técnica Federico Santa María
Casilla 110-V, Valparaíso Chile

Received: May 27, 1997
Revised: July 10, 1997
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.

1991 Mathematics Subject Classification: 30F10, 30F40.