# Difference between revisions of "ApCoCoA-1:BB.LiftHomND"

From ApCoCoAWiki

(Types section update.) |
|||

Line 19: | Line 19: | ||

</description> | </description> | ||

<types> | <types> | ||

− | |||

<type>borderbasis</type> | <type>borderbasis</type> | ||

</types> | </types> | ||

Line 27: | Line 26: | ||

<see>BB.LiftND</see> | <see>BB.LiftND</see> | ||

<see>BB.LiftNDViaServer</see> | <see>BB.LiftNDViaServer</see> | ||

+ | |||

<key>LiftHomND</key> | <key>LiftHomND</key> | ||

<key>BB.LiftHomND</key> | <key>BB.LiftHomND</key> |

## Revision as of 13:46, 24 April 2009

## BB.LiftHomND

Compute the homogeneous border basis scheme ideal generators obtained from lifting of ND neighbors.

### Syntax

BB.LiftHomND(OO:LIST):LIST

### Description

Computes the generators of the border basis scheme ideal I(B^hom_O) that result from the lifting of next-door neighbors. The input is a list of terms OO (2nd element of type POLY). The output is a list of poly in the ring BBS=K[c_{ij}].

@param

*OO*A list of terms representing an order ideal.@return A list of generators of the homogeneous border basis scheme ideal I(B_O) that results from the lifting of next-door neighbors in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].

#### Example

Use QQ[x,y,z], DegRevLex; BB.LiftHomND([Poly(1), x, y, xy]); [BBS :: c[3,1]c[4,4] + c[2,1] - c[4,2], BBS :: c[2,1]c[4,5] + c[3,1] - c[4,3]] -------------------------------