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Inverse system of an ideal of derivations
InverseSystem(I: IDEAL, D: INT): LIST of RINGELEM
Thanks to Enrico Carlini.
Given an ideal of derivations
, and an integer
, this function
computes the degree
part of the inverse system of
For the sake of simplicity Forms/Polynomials and Derivations live in
the same ring, the distinction between them is purely formal.
/**/ Use QQ[x,y,z];
/**/ InverseSystem(ideal(x^3+x*y*z), 3);
[z^3, y*z^2, x*z^2, y^2*z, x^2*z, y^3, x*y^2, x^2*y, x^3 - 6*x*y*z]