Singular Manual: CenterBO

| #### 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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