Difference between revisions of "ApCoCoA-1:BB.NDgens"
From ApCoCoAWiki
KHiddemann (talk | contribs) (fixing keys) |
KHiddemann (talk | contribs) m |
||
| Line 6: | Line 6: | ||
</syntax> | </syntax> | ||
<description> | <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 | + | 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> | <example> | ||
Use Q[x,y,z]; | Use Q[x,y,z]; | ||
Revision as of 12:21, 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 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]; $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]] -------------------------------
