ApCoCoA-1:BB.HomBBscheme

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BB.HomBBscheme

Compute the defining equations of a homogeneous border basis scheme.

Syntax

BB.HomBBscheme(OO:LIST):IDEAL

Description

Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices. The input is a list OO of terms that specify an order ideal. The second element of OO must be a non-constant polynomial. The output is an ideal in the ring <formula>BBS = K[c_{ij}]</formula>.

  • @param OO A list of terms representing an order ideal.

  • @return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring BBS=K[c_{ij}].

BB.BBscheme