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

From ApCoCoAWiki
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     <type>borderbasis</type>
 
     <type>borderbasis</type>
 
   </types>
 
   </types>
   <see>BB.BBscheme</see>
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   <see>ApCoCoA-1:BB.BBscheme|BB.BBscheme</see>
 
   <key>HomBBscheme</key>
 
   <key>HomBBscheme</key>
 
   <key>BB.HomBBscheme</key>
 
   <key>BB.HomBBscheme</key>

Revision as of 07:56, 7 October 2020

BB.HomBBscheme

Computes the defining equations of a homogeneous border basis scheme.

Syntax

BB.HomBBscheme(OO:LIST):IDEAL

Description

Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.

  • @param OO A list of terms representing an order ideal. The second element of OO must be a non-constant polynomial.

  • @return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring BBS=K[c_{ij}].

BB.BBscheme