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D.5.15.10 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
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