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D.15.5.1 coDimMap

Procedure from library classifyMapGerms.lib (see classifyMapGerms_lib).

Usage:
coDimMap(I, #); I=ideal, #=list

Compute:
a bound of the A-determinacy of the map germ defined by I.

Return:
a list in which 1st entry gives the bound of the A-determinancy and the second entry gives the codimension of the map germ defined by I.

Note:
if # is empty it computes A^e-codimension(the extended codimension).

Example:
 
LIB "classifyMapGerms.lib";
ring R=0,(x,y),(c,ds);
poly f1=x;
poly f2=xy+y5+y7;
poly f11=f1+f2*f1;
poly f22=f2+f1^2;
map phi=basering,x+y,y+y2;
f1=phi(f11);
f2=phi(f22);
ideal I=f1,f2;
coDimMap(I);
==> [1]:
==>    14
==> [2]:
==>    2
coDimMap(I,1);
==> [1]:
==>    15
==> [2]:
==>    4