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D.5.5.12 DeltaList
Procedure from library resolve.lib (see resolve_lib).
- Usage:
- DeltaList (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:
- Delta-operator iteratively applied to J in the notation of
[Bravo,Encinas,Villamayor]
- Return:
- list l of length ((max w-ord) * b),
l[i+1]=Delta^i(J)
Example:
| | LIB "resolve.lib";
ring R=0,(x,y,z),dp;
ideal W=z^2-x;
ideal J=x*y^2+x^3;
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;
DeltaList(BO);
==> [1]:
==> _[1]=x3+xy2
==> [2]:
==> _[1]=z2-x
==> _[2]=xy
==> _[3]=3x2z+y2z
==> _[4]=x3
==> [3]:
==> _[1]=x
==> _[2]=z2
==> _[3]=yz
==> _[4]=y2
==> [4]:
==> _[1]=z
==> _[2]=y
==> _[3]=x
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