ApCoCoA-1:BB.NDgens

borderbasis.NDgens

generators from vanishing ideal of a border basis scheme

Syntax

$borderbasis.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 input is 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];
$borderbasis.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]]
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borderbasis.ASgens

borderbasis.HomASgens

borderbasis.HomNDgens