ϒ-hyperelliptic Riemann surfaces

• Autores: Rubén Antonio Hidalgo
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 17, Nº. 1, 1998, págs. 77-117
• Idioma: inglés
• DOI: 10.22199/S07160917.1998.0001.00007
• Enlaces
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• 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].

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