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

From ApCoCoAWiki

KHiddemann (talk | contribs) (removing Kaspar's command refs in the descriptions since the man pages look strange) |
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<command> | <command> | ||

<title>borderbasis.HomASgens</title> | <title>borderbasis.HomASgens</title> | ||

− | <short_description> | + | <short_description>generators of vanishing ideal of homogeneous border basis scheme</short_description> |

<syntax> | <syntax> | ||

$borderbasis.HomASgens(K:INT,OO:LIST):LIST | $borderbasis.HomASgens(K:INT,OO:LIST):LIST | ||

</syntax> | </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 ASneighbors(OO). The input is an integer K | + | 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 the range 1..Len(ASneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>. |

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

+ | <see>borderbasis.ASgens</see> | ||

+ | <see>borderbasis.HomNDgens</see> | ||

+ | <see>borderbasis.NDgens</see> | ||

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

<key>borderbasis.homasgens</key> | <key>borderbasis.homasgens</key> |

## Revision as of 22:33, 7 November 2007

## borderbasis.HomASgens

generators of vanishing ideal of homogeneous border basis scheme

### 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 the range 1..Len(ASneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>.