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D.8.3.2 parametrizepd

Procedure from library paramet.lib (see paramet_lib).

Usage:
parametrizepd(I); I ideal in a polynomial ring with global ordering

Create:
If the parametrization is successful, the basering will be changed to the parametrization ring, that is to the ring PR=0,(s,t),dp; respectively PR=0,t(1..d),dp;, depending on the dimension of the parametrized variety.

Return:
a list of lists, where each entry contains the parametrization of a primary component of I resp. 0, the number of variables resp. 0, and 1 resp. 0 depending on whether the parametrization of the component was successful or not

Example:
 
LIB "paramet.lib";
ring RING=0,(x,y,z),dp;
ideal I=(x2-y2z2+z3)*(x2-z2-z3),(x2-y2z2+z3)*yz;
parametrizepd(I);
==> [1]:
==>    [1]:
==>       _[1]=s2t-t3
==>       _[2]=s
==>       _[3]=s2-t2
==>    [2]:
==>       2
==>    [3]:
==>       1
==> [2]:
==>    [1]:
==>       _[1]=0
==>       _[2]=s
==>       _[3]=0
==>    [2]:
==>       1
==>    [3]:
==>       1
==> [3]:
==>    [1]:
==>       _[1]=s3-s
==>       _[2]=0
==>       _[3]=s2-1
==>    [2]:
==>       1
==>    [3]:
==>       1
See also: normal; parametrize; primdecGTZ.


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