Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations

• Autorzy: Rubén A. Hidalgo
• Języki publikacji: EN

Abstrakty

EN

Let S be a compact Klein surface together with a di-analytic involution κ: S → S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that κ can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S is a closed Klein surface, then κ can also be lifted to a suitable extended-Schottky uniformization.

Kategorie tematyczne

• 30F10: Compact Riemann surfaces and uniformization
• 30F40: Kleinian groups
• 30F50: Klein surfaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 214
• Numer: 2
• Strony: 161-180

Daty

wydano

2011

Twórcy

autor

Rubén A. Hidalgo

• Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile

Identyfikatory

DOI

10.4064/fm214-2-4