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

From ApCoCoAWiki

(Initial version) |
(Updated description) |
||

Line 6: | Line 6: | ||

</syntax> | </syntax> | ||

<description> | <description> | ||

− | Computes the generators of the vanishing ideal of the homogenous border basis scheme corresponding to the lifting of the K-th element of [[ApCoCoA:borderbasis.NDneighbors|NDneighbors]](OO). The input is an integer K In 1..[[CoCoA:Len|Len]]([[ApCoCoA:borderbasis.NDneighbors|NDneighbors]](OO)). The output is a list of poly in the ring BBS=K[c_{ij}]. | + | Computes the generators of the vanishing ideal of the homogenous border basis scheme corresponding to the lifting of the K-th element of [[ApCoCoA:borderbasis.NDneighbors|NDneighbors]](OO). The input is an integer K In 1..[[CoCoA:Len|Len]]([[ApCoCoA:borderbasis.NDneighbors|NDneighbors]](OO)) and a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring BBS=K[c_{ij}]. |

</description> | </description> | ||

<key>Kreuzer</key> | <key>Kreuzer</key> |

## Revision as of 21:43, 22 October 2007

## borderbasis.HomNDgens

Computes the generators of the vanishing ideal of the hom. border basis scheme corresp. to the lifting of the K-th element of NDneighbors(OO)

### Syntax

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

### Description

Computes the generators of the vanishing ideal of the homogenous border basis scheme corresponding to the lifting of the K-th element of NDneighbors(OO). The input is an integer K In 1..Len(NDneighbors(OO)) and a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring BBS=K[c_{ij}].