=ADD=
=reftype=
14
=number=
02-18
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2002/02-18.ps.gz
=year=
2002
=month=
09
=author=
Landsmann; Guenter
=title=
Implicitization of Algebraic Varieties
=abstract=
The concept of the implicit representation of a rationally parametrized
algebraic
variety is presented. After a brief introduction to the general
theory of implicitization, various methods for finding this
representation are discussed.
>From a theoretical point of view Gröbner basis methods seem to
work best for finding the implicit equations. But the actual
computation of Gröbner bases is often very time consuming.
For this reason classical resultant methods are considered as an
alternative. Since such methods fail in the presence of base points,
the concept of moving varieties being free from restrictions of this
kind is discussed.
=howpublished=
Proceedings of SCI2002
=sponsor=
FWF project SFB F013 subproject 04
=keywords=
Implicitization, Interpolation, Gröbner Bases, Resultants, Moving Lines