*Wissenschaftliches Programm* † *Liste der Vortragenden*

Sektion 14
Donnerstag, 21.09.2000, 16.00–16.50 Uhr, WIL A 317

The Parametrization Problem for Algebraic Surfaces. A Survey

Josef Schicho, Universitšt Linz, RISC

The parameterization problem asks for a parameterization of an implicitly given surface, in terms of rational functions in two variables. There are close relations to classical theories like the Enriques classification of algebraic surfaces, the theory of quadratic forms, singularity theory. In this survey paper, we give an overview on the existing results, with a strong emphasize on algorithmic questions.