Difference between revisions of "ApCoCoA-1:BB.HomNDgens"
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<command> | <command> | ||
<title>BB.HomNDgens</title> | <title>BB.HomNDgens</title> | ||
| − | <short_description> | + | <short_description>Computes the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description> |
<syntax> | <syntax> | ||
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<types> | <types> | ||
<type>borderbasis</type> | <type>borderbasis</type> | ||
| + | <type>ideal</type> | ||
</types> | </types> | ||
<see>BB.ASgens</see> | <see>BB.ASgens</see> | ||
Revision as of 12:47, 28 April 2009
BB.HomNDgens
Computes 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}].
