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D.8.3.3 parametrizesing

Procedure from library paramet.lib (see paramet_lib).

Usage:
parametrizesing(f); f a polynomial in two variables, ordering ls or ds

Create:
If the parametrization is successful, the basering will be changed to the parametrization ring, that is to the ring 0,(x,y),ls;

Return:
a list containing the parametrizations of the different branches of the singularity at the origin resp. 0, if f was not of the desired kind

Example:
 
LIB "paramet.lib";
ring RING=0,(x,y),ls;
poly f=(x^2-y^3)*(x^2-y^2-y^3);
parametrizesing(f);
==> HNE of one branch found
==> HNE of one branch found
==> finite HNE of one branch found
==> // result: 3 branch(es) successfully computed,
==> //         basering has changed to HNEring
==> [1]:
==>    _[1]=x
==>    _[2]=x-1/2x2
==> [2]:
==>    _[1]=x
==>    _[2]=-x-1/2x2
==> [3]:
==>    _[1]=x3
==>    _[2]=x2
See also: hnoether_lib; reddevelop.


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