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
Ring Normalization

Get a parametrization of a reduced variety via normalization.

Whitney umbrella:
V = {x2-y2z = 0}

LIB "normal.lib";
ring r=0,(x,y,z),dp;
ideal i=x2-y2z;
list NN=normal(i);
def N=NN[1];
setring N;
normap;
==> normap[1]=T(1)*T(2)
normap[2]=T(1)
normap[3]=T(2)^2

(real) picture via "implicitplot"

Hence, the normalization map is: (t1, t2) -> (t1t2, t1, t22)

A more complicated Example
KL, 06/03 http://www.singular.uni-kl.de