# ApCoCoA-1:BB.LiftHomAS

From ApCoCoAWiki

## BB.LiftHomAS

Compute the homogeneous border basis scheme generators obtained from lifting of AS neighbors.

### Syntax

BB.LiftHomAS(OO:LIST):LIST

### Description

Compute the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbors. The input is 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>.

@param

*OO*A list of terms representing an order ideal.@return A list of generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbors in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].