Resolution
Global GMS
ES Strata
Build. Blocks
Comb. Appl.
HCA Proving
Arrangements
Branches
Classify
Coding
Deformations
Equidim Part
Existence
Finite Groups
Flatness
Genus
Hilbert Series
Membership
Nonnormal Locus
Normalization
Primdec
Puiseux
Plane Curves
Saturation
Solving
Space Curves
Spectrum
Partial Standard Bases - Studying Families in the Local Case
Situation
:
R local ring in variables x and parameters t,
I
_{t}
family of zero-dimensional ideals in R
Partial Standard Basis
:
system of generators of I
_{t}
,
union of S
_{x}
and S
_{t}
where
h(t=0) non-zero for all h in S
_{x}
h(t=0)=0 for all h in S
_{t}
restriction of S
_{x}
to t=0 is standard basis of I
further condintions on S
_{t}
KL, 06/03
http://www.singular.uni-kl.de