Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces

• Autores: Johannes Huisman
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 12, Nº 1, 1999, págs. 47-69
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We construct a global system of real analytic coordinates on the real Teichmüller space of a compact real algebraic curve X, using so-called strict uniformization of the real algebraic curve X. A global coordinate system is then obtained via real quasiconformal deformations of the Kleinian subgroup of PGL2(R) obtained as a group of covering transformations of a strict uniformization of X.