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

From ApCoCoAWiki
Line 16: Line 16:
 
   <types>
 
   <types>
 
     <type>borderbasis</type>
 
     <type>borderbasis</type>
 +
    <type>ideal</type>
 
   </types>
 
   </types>
 
   <see>BB.ASgens</see>
 
   <see>BB.ASgens</see>

Revision as of 12:46, 28 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