Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.
Huisman, J.
Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999), p. 46-68 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1999-01-01
DMLE-ID : 885 
@article{urn:eudml:doc:44424,
     title = {Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichm\"uller spaces.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {12},
     year = {1999},
     pages = {46-68},
     zbl = {0948.32017},
     mrnumber = {MR1698898},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44424}
}

Huisman, J. Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 12 (1999) pp. 46-68. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44424/