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

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<see>BB.HomNDgens</see> | <see>BB.HomNDgens</see> | ||

<see>BB.NDgens</see> | <see>BB.NDgens</see> | ||

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− | <key> | + | <key>BB.HomASgens</key> |

− | <key>borderbasis. | + | <key>borderbasis.HomASgens</key> |

<wiki-category>Package_borderbasis</wiki-category> | <wiki-category>Package_borderbasis</wiki-category> | ||

</command> | </command> |

## Revision as of 18:59, 22 April 2009

## BB.HomASgens

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

### Syntax

BB.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 inputs are 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>.

@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 ASneighbors(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 ASneighbors(OO). The polynomials will belong to the ring BBS=K[c_{ij}].