Difference between revisions of "ApCoCoA-1:BB.LiftAS"
From ApCoCoAWiki
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<title>BB.LiftAS</title> | <title>BB.LiftAS</title> | ||
| − | <short_description> | + | <short_description>Border basis scheme ideal generators from lifting of AS neighbors.</short_description> |
<syntax> | <syntax> | ||
BB.LiftAS(OO:LIST):LIST | BB.LiftAS(OO:LIST):LIST | ||
Revision as of 16:12, 21 April 2009
BB.LiftAS
Border basis scheme ideal generators from lifting of AS neighbors.
Syntax
BB.LiftAS(OO:LIST):LIST
Description
Computes the generators of the border basis scheme ideal <formula>I(\mathbb{B}_\mathcal{O})</formula> that result from the lifting of across-the-street neighbors. The input is a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring <formula>BBS=K[c_{ij}]</formula>.
Example
Use Q[x,y], DegRevLex; BB.LiftAS([Poly(1), x, y, xy]); [BBS :: c[1,2]c[2,3] - c[1,1]c[3,4] + c[1,4]c[4,3] - c[1,3]c[4,4], BBS :: c[2,2]c[2,3] - c[2,1]c[3,4] + c[2,4]c[4,3] - c[2,3]c[4,4] + c[1,3], BBS :: c[2,3]c[3,2] - c[3,1]c[3,4] + c[3,4]c[4,3] - c[3,3]c[4,4] - c[1,4], BBS :: c[3,4]c[4,1] - c[2,3]c[4,2] + c[2,4] - c[3,3]] -------------------------------
