=ADD= =reftype= 14 =number= 99-30 =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1999/99-30.ps.gz =year= 1999 =month= 10 =author= Schicho; Josef =title= The Parametrization Problem for Algebraic Surfaces =abstract= The parameterization problem asks for a parameterization of an implicitly given surface, in terms of rational functions in two variables. We give an overview on the history of this problem, including recent algorithmic solutions and open questions. The problem is related to the parametrization problem for curves and to the problem of resolution of singularities. =keywords= parametrization, algebraic, surfaces =note= invited talk at the EACA'99, Septmeber 8-11, Tenerife =howpublished= Proc. EACA'99 =sponsor= FWF