Resumen de An example of degeneration on the noded Schottky space

Rubén Antonio Hidalgo

• In these notes we construct explicit examples of degenerations on the noded Schottky space of genus g ³ 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.