Full paper in PDF:
$%J. Huisman, Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces, Rev. Mat. Complut. 12 (1999), no. 1, 47–69. %$

Strict Uniformization of Real Algebraic Curves and Global Real Analytic Coordinates on Real Teichmüller Spaces
Johannes HUISMAN
Institut Mathématique de Rennes
Université de Rennes 1
Campus de Beaulieu
35042 Rennes Cedex — France

Received: June 20, 1998
 

ABSTRACT

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  .

1991 Mathematics Subject Classification: 32015, 14P99, 14H30.