Difference between revisions of "ApCoCoA-1:BB.HomNDgens"
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<see>BB.HomASgens</see> | <see>BB.HomASgens</see> | ||
<see>BB.NDgens</see> | <see>BB.NDgens</see> | ||
| − | <key> | + | <key>HomNDgens</key> |
| − | <key> | + | <key>BB.HomNDgens</key> |
| − | <key>borderbasis. | + | <key>borderbasis.HomNDgens</key> |
<wiki-category>Package_borderbasis</wiki-category> | <wiki-category>Package_borderbasis</wiki-category> | ||
</command> | </command> | ||
Revision as of 18:58, 22 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 NDneighbors(OO). The inputs are an integer K in the range 1..Len(NDneighbors(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 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 NDneighbors(OO). The polynomials will belong to the ring BBS=K[c_{ij}].
