An example of degeneration on the noded Schottky space
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Autores: Rubén Antonio Hidalgo
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 11, Nº 1, 1998, págs. 165-183
- Idioma: inglés
- DOI: 10.5209/rev_rema.1998.v11.n1.17322
- Enlaces
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Resumen
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.
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