Difference between revisions of "ApCoCoA-1:BB.NDgens"
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<command> | <command> | ||
<title>borderbasis.NDgens</title> | <title>borderbasis.NDgens</title> | ||
| − | <short_description>generators | + | <short_description>generators from vanishing ideal of a border basis scheme</short_description> |
<syntax> | <syntax> | ||
$borderbasis.NDgens(K:INT,OO:LIST):LIST | $borderbasis.NDgens(K:INT,OO:LIST):LIST | ||
Revision as of 12:00, 8 November 2007
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]] -------------------------------
