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

Huisman, J.. "Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.." Revista Matemática Complutense 12.1 (1999): 46-68. <http://eudml.org/doc/44424>.

@article{Huisman1999,
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.},
author = {Huisman, J.},
journal = {Revista Matemática Complutense},
keywords = {Geometría algebraica; Curvas algebraicas reales; Kleinian group; real analytic coordinates; real Teichmüller space; real algebraic curve; uniformization},
language = {eng},
number = {1},
pages = {46-68},
title = {Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.},
url = {http://eudml.org/doc/44424},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Huisman, J.
TI - Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 1
SP - 46
EP - 68
AB - 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.
LA - eng
KW - Geometría algebraica; Curvas algebraicas reales; Kleinian group; real analytic coordinates; real Teichmüller space; real algebraic curve; uniformization
UR - http://eudml.org/doc/44424
ER -