Computation of Adjoints and the Parametrization Problem
Josef Schicho
Johann Radon Institute, Linz, Austria
Adjoint maps are a classical tool in birational algebraic geometry.
In particular, they can be used as a stepping stone for the computation
of a birational map to the plane for a given rational surface
(the parametrization problem). After a brief discussion of these
applications, we present an algorithm for the computation of
adjoint spaces.
Our basic models of surfaces are hypersurfaces in 3-space. Occasionally,
we also work with models in "codimension zero", i.e. surfaces that
are represented as finite coverings of the plane.