ApCoCoA-1:BB.HomASgens: Difference between revisions

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     <see>BB.HomNDgens</see>
     <see>BB.HomNDgens</see>
     <see>BB.NDgens</see>
     <see>BB.NDgens</see>
     <key>kreuzer</key>
     <key>HomASgens</key>
     <key>bb.homasgens</key>
     <key>BB.HomASgens</key>
     <key>borderbasis.homasgens</key>
     <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}].

BB.ASgens

BB.HomNDgens

BB.NDgens