Singular

D.6.16.8 posweight

Usage:

posweight(M,t1,n[,s]); M matrix, t1 module, n int, s string
n=0 : all deformations of non-negative weight
n=1 : only non-constant deformations of non-negative weight
n=2 : all deformations of positive weight

Assume:

M is a presentation matrix of a Cohen-Macaulay codimension 2 ideal and t1 is its T1 space in matrix notation

Return:

new ring containing a list posw, consisting of a presentation matrix describing the deformation given by the generators of T1 of non-negative/positive weight and the weight vector for the new variables

Note:

The current basering should not contain any variables named T(i) where i is some integer!

LIB "spcurve.lib";
ring r=32003,(x(1),x(2),x(3)),ds;
ideal curve=(x(3)-x(1)^2)*x(3),(x(3)-x(1)^2)*x(2),x(2)^2-x(1)^7*x(3);
matrix M=isCMcod2(curve);
list l=matrixT1(M,3);
def rneu=posweight(l[1],std(l[2]),0);
setring rneu;
pmat(posw[1]);
==> T(2)+x(1)*T(1), -x(3)+x(1)^2, 
==> -x(3),          x(2),         
==> x(2),           -x(1)^7
posw[2];
==> 3,1