Difference between revisions of "ApCoCoA-1:BB.HomNDgens"

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   <title>BB.HomNDgens</title>
 
   <title>BB.HomNDgens</title>
 
   <short_description>Compute the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description>
 
   <short_description>Compute the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description>
   <syntax>BB.HomNDgens(K:INT,OO:LIST):LIST</syntax>
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<syntax>
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BB.HomNDgens(K:INT,OO:LIST):LIST
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</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 <ref>BB.NDneighbors</ref>(OO). The inputs are an integer K in the range 1..Len(<ref>BB.NDneighbors</ref>(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}].
 
Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of <ref>BB.NDneighbors</ref>(OO). The inputs are an integer K in the range 1..Len(<ref>BB.NDneighbors</ref>(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}].

Revision as of 14:48, 24 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 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}].

BB.ASgens

BB.HomASgens

BB.NDgens