# ApCoCoA-1:BB.HomBBscheme

From ApCoCoAWiki

## 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}].