# Difference between revisions of "ApCoCoA-1:BB.NDgens"

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## Latest revision as of 09:42, 7 October 2020

This article is about a function from ApCoCoA-1. |

## BB.NDgens

Computes the generators of the vanishing ideal of a border basis scheme.

### Syntax

BB.NDgens(K:INT,OO:LIST):LIST of POLY

### Description

This command computes the generators of the vanishing ideal of the border basis scheme corresponding to the lifting of the `K`-th element of BB.NDneighbors(OO).

@param

*K*An integer in the range 1..Len(BB.NDneighbors(OO)).@param

*OO*A list of terms representing an order ideal.@return A list of generators of the vanishing ideal. The polynomials will belong to the ring

`BBS=K[c_{ij}]`.

#### Example

Use QQ[x,y,z]; BB.NDgens(1, [1,x]); [BBS :: c[1,5]c[2,1] - c[1,3], BBS :: c[2,1]c[2,5] + c[1,1] - c[2,3]] -------------------------------