Difference between revisions of "ApCoCoA-1:BB.NDgens"
From ApCoCoAWiki
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<syntax> | <syntax> | ||
| − | BB.NDgens(K:INT,OO:LIST):LIST | + | BB.NDgens(K:INT,OO:LIST):LIST of POLY |
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | + | This command computes the generators of the vanishing ideal of the border basis scheme corresponding to the lifting of the <tt>K</tt>-th element of <ref>BB.NDneighbors</ref>(OO). | |
<itemize> | <itemize> | ||
| − | <item>@param <em>K</em> | + | <item>@param <em>K</em> An integer in the range 1..<ref>Len</ref>(<ref>BB.NDneighbors</ref>(OO)).</item> |
<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 generators of the vanishing ideal | + | <item>@return A list of generators of the vanishing ideal. The polynomials will belong to the ring <tt>BBS=K[c_{ij}]</tt>.</item> |
</itemize> | </itemize> | ||
<example> | <example> | ||
Revision as of 15:49, 8 July 2009
BB.NDgens
Computes the generators of the vanishing ideal of a border basis scheme.
Syntax
BB.NDgens(K:INT,OO:LIST):LIST of POLY
Description
This command computes the generators of the vanishing ideal of the border basis scheme corresponding to the lifting of the K-th element of BB.NDneighbors(OO).
@param K An integer in the range 1..Len(BB.NDneighbors(OO)).
@param OO A list of terms representing an order ideal.
@return A list of generators of the vanishing ideal. The polynomials will belong to the ring BBS=K[c_{ij}].
Example
Use QQ[x,y,z]; BB.NDgens(1, [1,x]); [BBS :: c[1,5]c[2,1] - c[1,3], BBS :: c[2,1]c[2,5] + c[1,1] - c[2,3]] -------------------------------
