# ApCoCoA-1:BB.HomBBscheme

From ApCoCoAWiki

## borderbasis.HomBBscheme

Compute defining eqns of hom. BB scheme

### Syntax

$borderbasis.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 an order ideal OO (2nd element of type POLY). The output is an ideal in the ring <formula>BBS = K[c_{ij}]</formula>.