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

From ApCoCoAWiki
(Types section update.)
Line 1: Line 1:
 
<command>
 
<command>
 
   <title>BB.HomASgens</title>
 
   <title>BB.HomASgens</title>
   <short_description>Compute the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description>
+
   <short_description>Computes the generators of the vanishing ideal of a homogeneous border basis scheme.</short_description>
 
   <syntax>BB.HomASgens(K:INT,OO:LIST):LIST</syntax>
 
   <syntax>BB.HomASgens(K:INT,OO:LIST):LIST</syntax>
 
   <description>
 
   <description>
Line 12: Line 12:
 
   </description>
 
   </description>
 
   <types>
 
   <types>
    <type>list</type>
 
    <type>int</type>
 
    <type>integer</type>
 
 
     <type>borderbasis</type>
 
     <type>borderbasis</type>
 
   </types>
 
   </types>
Line 20: Line 17:
 
   <see>BB.HomNDgens</see>
 
   <see>BB.HomNDgens</see>
 
   <see>BB.NDgens</see>
 
   <see>BB.NDgens</see>
 +
 
   <key>HomASgens</key>
 
   <key>HomASgens</key>
 
   <key>BB.HomASgens</key>
 
   <key>BB.HomASgens</key>

Revision as of 13:42, 24 April 2009

BB.HomASgens

Computes 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 BB.ASneighbors(OO). The inputs are an integer K in the range 1..Len(BB.ASneighbors(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.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 BB.ASneighbors(OO). The polynomials will belong to the ring BBS=K[c_{ij}].

BB.ASgens

BB.HomNDgens

BB.NDgens