# ApCoCoA-1:BB.HomASgens

From ApCoCoAWiki

## borderbasis.HomASgens

generators of vanishing ideal of homogeneous border basis scheme

### Syntax

$borderbasis.HomASgens(K:INT,OO:LIST):LIST

### Description

Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of ASneighbors(OO). The input is an integer K in the range 1..Len(ASneighbors(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>.