# ApCoCoA-1:BB.HomNDgens

From ApCoCoAWiki

## borderbasis.HomNDgens

Computes the generators of the vanishing ideal of the hom. border basis scheme corresp. to the lifting of the K-th element of NDneighbors(OO)

### Syntax

$borderbasis.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 input is an integer K In 1..Len(NDneighbors(OO)) and a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring BBS=K[c_{ij}].