# ApCoCoA-1:BB.HomASgens

From ApCoCoAWiki

## borderbasis.HomASgens

Compute gens of vanishing ideal of hom. BB scheme corresp. to lifting of an element of ASneighbors(OO)

### 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 1..<ttref>Len</ttref>(ASneighbors(OO)) and a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring <formula>BBS=K[c_{ij}]</formula>.