=ADD=
=reftype=
14
=number=
04-02
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2004/04-02.ps.gz
=year=
2004
=month=
01
=author=
R Sendra  J G Alcazar; Juan
=title=
Computation of the Topology of Algebraic Space Curves
=abstract=
An algorithm for computing the topology of a real, algebraic space curve
$C$ implicitly defined as the complete intersection of two surfaces is 
presented. Given $C$, the algorithm generates a space graph which is 
topologically equivalent to the real variety on the Euclidean space. The
algorithm is based on the computation of the graph of at most two 
birational projections of $C$. For this purpose, we introduce the notion
of space general position for space curves, and we show that any
curve in the above conditions can always be linearly transformed to
be in general position, and we present effective methods to check
whether space general position has been reached.
=pdf=
/home/jschicho/Top.pdf
=note=
Submitted to JSC
=sponsor=
BMF2002-04404-C02-01 and HU2001-2002
=keywords=
algebraic curve, resultants, space curve