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

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<title>BB.HomNDgens</title> | <title>BB.HomNDgens</title> | ||

<short_description>Compute the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description> | <short_description>Compute the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description> | ||

− | <syntax>BB.HomNDgens(K:INT,OO:LIST):LIST</syntax> | + | |

+ | <syntax> | ||

+ | BB.HomNDgens(K:INT,OO:LIST):LIST | ||

+ | </syntax> | ||

<description> | <description> | ||

Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of <ref>BB.NDneighbors</ref>(OO). The inputs are an integer K in the range 1..Len(<ref>BB.NDneighbors</ref>(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring BBS=K[c_{ij}]. | Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of <ref>BB.NDneighbors</ref>(OO). The inputs are an integer K in the range 1..Len(<ref>BB.NDneighbors</ref>(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring BBS=K[c_{ij}]. |

## Revision as of 14:48, 24 April 2009

## BB.HomNDgens

Compute the generators of the vanishing ideal of a homogeneous border basis scheme.

### Syntax

BB.HomNDgens(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 BB.NDneighbors(OO). The inputs are an integer K in the range 1..Len(BB.NDneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring BBS=K[c_{ij}].

@param

*K*The generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by BB.NDneighbors(OO) will be computed.@param

*OO*A list of terms representing an order ideal.@return A list of generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by BB.NDneighbors(OO). The polynomials will belong to the ring BBS=K[c_{ij}].