=ADD=
=reftype=
14
=number=
01-30
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2001/01-30.ps.gz
=year=
2001
=month=
12
=author=
Bodnar; G{\'A}BOR + Schicho; Josef
=title=
Two Computational Techniques for Singularity Resolution
=abstract=
This paper presents two efficient computational techniques in
algebraic geometry.  The first one allows the elimination of
redundancies in the representation of quasi-projective varieties by
atlases of affine charts.  The second simplifies the computations
with exponentiated ideals by attaching rational weights to the
generators, applying Hironaka's theory of idealistic exponents.
As the main application, we used these techniques to speed up
Villamayor's algorithm for resolving hypersurface singularities
in any dimension.
=howpublished=
JSC 32(1-2): 39-54 (2001)
=sponsor=
FWF project SFB F1303
=keywords=
Resolution of singularities