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
DOI: 10.5209/rev_rema.1999.v12.n1.17187
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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.