Difference between revisions of "ApCoCoA-1:BB.LiftASViaServer"
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<command> | <command> | ||
<title>BB.LiftASViaServer</title> | <title>BB.LiftASViaServer</title> | ||
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<see>Introduction to CoCoAServer</see> | <see>Introduction to CoCoAServer</see> | ||
| − | <see>BB.LiftAS</see> | + | <see>ApCoCoA-1:BB.LiftAS|BB.LiftAS</see> |
| − | <see>BB.LiftHomAS</see> | + | <see>ApCoCoA-1:BB.LiftHomAS|BB.LiftHomAS</see> |
| − | <see>BB.LiftND</see> | + | <see>ApCoCoA-1:BB.LiftND|BB.LiftND</see> |
| − | <see>BB.LiftNDViaServer</see> | + | <see>ApCoCoA-1:BB.LiftNDViaServer|BB.LiftNDViaServer</see> |
| − | <see>BB.LiftHomND</see> | + | <see>ApCoCoA-1:BB.LiftHomND|BB.LiftHomND</see> |
<key>LiftASViaServer</key> | <key>LiftASViaServer</key> | ||
<key>BB.LiftASViaServer</key> | <key>BB.LiftASViaServer</key> | ||
<key>borderbasis.LiftASViaServer</key> | <key>borderbasis.LiftASViaServer</key> | ||
| − | <wiki-category> | + | <wiki-category>ApCoCoA-1:Package_borderbasis</wiki-category> |
</command> | </command> | ||
Latest revision as of 09:41, 7 October 2020
| This article is about a function from ApCoCoA-1. |
BB.LiftASViaServer
Computes the border basis scheme ideal generators obtained from lifting of AS neighbours.
Syntax
BB.LiftASViaServer(OO:LIST,Border:LIST,HomogeneousLift:BOOL):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
If HomogeneousLift is set to FALSE, the generators of the border basis scheme ideal I(B_O) that result from the lifting of across-the-street neighbors will be computed by using the ApCoCoAServer. If HomogeneousLift is set to TRUE, generators of I(B^hom_O) will be computed instead.
@param OO A list of terms representing an order ideal.
@param Border A list of terms representing the border of order ideal.
@param Homogeneous Set to TRUE if you want to compute the generators of the homogeneous border basis scheme.
@return A list of generators of the border basis scheme ideal. The polynomials will belong to the ring BBS=K[c_{ij}].
Example
Use QQ[x,y], DegRevLex; BB.LiftASViaServer([Poly(1), x, y, xy], [y^2, x^2, xy^2, x^2y], False); ------------------------------- [BBS :: c[3,4]c[4,1] - c[2,3]c[4,2] + c[2,4] - c[3,3], 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[1,2]c[2,3] + c[1,1]c[3,4] - c[1,4]c[4,3] + c[1,3]c[4,4]] -------------------------------
