=ADD=
=reftype=
14
=number=
97-38
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1997/97-38.ps.gz
=sponsor=
Austrian Fonds zur F\"orderung der wissenschaftlichen Forschung project
number P11160-TEC ``HySaX'' and by \"OAD, Accion Integrada 30/97.
=year=
1997
=author=
Stadelmeyer; Peter + Winkler; Franz
=title=
Computing the System of Adjoint Plane Curves by Puiseux Expansion
=month=
12
=keywords=
algebraic geometry, curves, adjoints, Puiseux series
=abstract=
Let $\pcurveC$ be an irreducible plane algebraic curve. A 
curve $\pcurveD$ is called an adjoint curve of $\pcurveC$ if it meets
certain 
conditions on the intersection multiplicities with curve-branches of 
$\pcurveC$. In this paper we show how these intersection
multiplicities can be computed and how the conditions can be checked
easily using the polar-curve of $\pcurveC$. This is then used
to compute the linear system of adjoint curves of degree $d$ of
$\pcurveC$, for some $d \in \mathbb{N}$.
    
The main objects we deal with are curve-branches which we 
compute with the Newton-Puiseux algorithm and represent using their
corresponding Puiseux-series.
=location=
2
=owner=
2
=source=
3