Difference between revisions of "ApCoCoA-1:BB.LiftHomAS"

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     <description>
 
Compute the equations defining the homogeneous border basis scheme and coming 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>.
 
Compute the equations defining the homogeneous border basis scheme and coming 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>.
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<itemize>
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  <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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  <item>@return A list of generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbors in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].</item>
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     </description>
 
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     <key>kreuzer</key>
 
     <key>kreuzer</key>

Revision as of 16:30, 22 April 2009

BB.LiftHomAS

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

Syntax

BB.LiftHomAS(OO:LIST):LIST

Description

Compute the equations defining the homogeneous border basis scheme and coming 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>.

  • @param OO A list of terms representing an order ideal.

  • @return A list of generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbors in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].


BB.LiftAS

BB.LiftASViaServer

BB.LiftND

BB.LiftNDViaServer

BB.LiftHomND