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D.5.5.10 CenterBO

Procedure from library resolve.lib (see resolve_lib).

Usage:
CenterBO(BO);
BO = basic object, a list: ideal W,
ideal J,
intvec b,
list Ex,
ideal ab,
intvec v,
intvec w,
matrix M

Assume:
R = basering, a polynomial ring, W an ideal of R,
J = ideal containing W

Compute:
the center of the next blow-up of BO in the resolution algorithm of [Bravo,Encinas,Villamayor]

Return:
list l,
l[1]: ideal describing the center
l[2]: intvec w obtained in the process of determining l[1]
l[3]: intvec b obtained in the process of determining l[1]
l[4]: intvec inv obtained in the process of determining l[1]

Example:
 
LIB "resolve.lib";
ring R=0,(x,y),dp;
ideal W;
ideal J=x2-y3;
intvec b=1;
list E;
ideal abb=maxideal(1);
intvec v;
intvec w=-1;
matrix M;
list BO=W,J,b,E,abb,v,w,M,v;
CenterBO(BO);
==> [1]:
==>    _[1]=y
==>    _[2]=x
==> [2]:
==>    -1
==> [3]:
==>    2
==> [4]:
==>    0