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

From ApCoCoAWiki

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<item>@param <em>OO</em> A list of terms representing an order ideal.</item> | <item>@param <em>OO</em> A list of terms representing an order ideal.</item> | ||

− | <item>@return A list of polynomials representing the defining equations of the homogeneous border basis scheme.</item> | + | <item>@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}].</item> |

</itemize> | </itemize> | ||

</description> | </description> |

## Revision as of 16:49, 22 April 2009

## BB.HomBBscheme

Compute 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. The input is a list OO of terms that specify an order ideal. The second element of OO must be a non-constant polynomial. The output is an ideal in the ring <formula>BBS = K[c_{ij}]</formula>.

@param

*OO*A list of terms representing an order ideal.@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}].