ApCoCoA-1:BB.NDgens
From ApCoCoAWiki
Revision as of 20:35, 8 November 2007 by XMLBot (talk | contribs) (ApCoCoA:Borderbasis.NDgens moved to ApCoCoA:BB.NDgens: new alias)
BB.NDgens
generators from vanishing ideal of a border basis scheme
Syntax
BB.NDgens(K:INT,OO:LIST):LIST
Description
Computes the generators of the vanishing ideal of the border basis scheme corresponding to the lifting of the K-th element of NDneighbors(OO). The inputs are an integer K in the range 1..Len(NDneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>.
Example
Use Q[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]] -------------------------------
