Full paper in PDF:
$%J. Huisman, Strict uniformization of real algebraic curves and global real analytic
coordinates
on real Teichmüller spaces, Rev. Mat. Complut. 12 (1999), no. 1, 47–69. %$
ABSTRACT
We construct a global system of real analytic coordinates on the real Teichmüller space of a compact real algebraic curve , using so-called strict uniformization of the real algebraic curve . A global coordinate system is then obtained via real quasiconformal deformations of the Kleinian subgroup of obtained as a group of covering transformations of a strict uniformization of .
1991 Mathematics Subject Classification: 32015, 14P99, 14H30.