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

From ApCoCoAWiki
(Types section update.)
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   </description>
 
   </description>
 
   <types>
 
   <types>
    <type>list</type>
 
    <type>int</type>
 
    <type>integer</type>
 
 
     <type>borderbasis</type>
 
     <type>borderbasis</type>
 
   </types>
 
   </types>
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   <see>BB.HomASgens</see>
 
   <see>BB.HomASgens</see>
 
   <see>BB.NDgens</see>
 
   <see>BB.NDgens</see>
 +
 
   <key>HomNDgens</key>
 
   <key>HomNDgens</key>
 
   <key>BB.HomNDgens</key>
 
   <key>BB.HomNDgens</key>

Revision as of 13:43, 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