# ApCoCoA-1:BB.HomNDgens

From ApCoCoAWiki

## BB.HomNDgens

generators of vanishing ideal of homogeneous border basis scheme

### Syntax

BB.HomNDgens(K:INT,OO:LIST):LIST

### Description

Computes the generators of the vanishing ideal of the homogenous border basis scheme corresponding to the lifting of the K-th element of NDneighbors(OO). The inputs are an integer K in the range 1..Len(NDneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>.