ϒ-hyperelliptic Riemann surfaces

  • Rubén A. Hidalgo Universidad Técnica Federico Santa María.
Palabras clave: Puchsian groups, Schottky groups, Riemann surfaces

Resumen

We give some characterizations of ϒ -hyperelliptic Riemann surfaces of genus ɡ ≥ 2, that is, pairs (S, j) where S is a closed Riemann surface of genus ɡ and j : S ⟶ S is a conformal involution with exactly 2ɡ + 2 - 4ϒ  fixed points. These characterizations are given by Schottky groups, special hyperbolic polygons and algebraic curves.These can be seen as generalizations of the works [5] and [11].

Biografía del autor/a

Rubén A. Hidalgo, Universidad Técnica Federico Santa María.
Departamento de Matemática.

Citas

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Publicado
2018-04-04
Cómo citar
Hidalgo, R. (2018). ϒ-hyperelliptic Riemann surfaces. Proyecciones. Revista De Matemática, 17(1), 77-117. https://doi.org/10.22199/S07160917.1998.0001.00007
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Artículos