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

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<command>
 
<command>
 
   <title>BB.LiftHomAS</title>
 
   <title>BB.LiftHomAS</title>
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</syntax>
 
</syntax>
 
   <description>
 
   <description>
Compute the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbours. 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}].
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This command computes the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbours.
 
<itemize>
 
<itemize>
   <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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   <item>@param <em>OO</em> A list of terms representing an order ideal. The second element is of type <tt>POLY</tt>.</item>
   <item>@return A list of generators of the homogeneous border basis scheme ideal that results from the lifting of across-the-street neighbours in the border of OO. The polynomials will belong to the ring BBS=K[c_{ij}].</item>
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   <item>@return A list of generators of the homogeneous border basis scheme ideal. The polynomials will belong to the ring <tt>BBS=K[c_{ij}]</tt>.</item>
 
</itemize>
 
</itemize>
 
   </description>
 
   </description>
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     <type>borderbasis</type>
 
     <type>borderbasis</type>
 
   </types>
 
   </types>
   <see>BB.LiftAS</see>
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   <see>ApCoCoA-1:BB.LiftAS|BB.LiftAS</see>
   <see>BB.LiftASViaServer</see>
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   <see>ApCoCoA-1:BB.LiftASViaServer|BB.LiftASViaServer</see>
   <see>BB.LiftND</see>
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   <see>ApCoCoA-1:BB.LiftND|BB.LiftND</see>
   <see>BB.LiftNDViaServer</see>
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   <see>ApCoCoA-1:BB.LiftNDViaServer|BB.LiftNDViaServer</see>
   <see>BB.LiftHomND</see>
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   <see>ApCoCoA-1:BB.LiftHomND|BB.LiftHomND</see>
  
 
   <key>LiftHomAS</key>
 
   <key>LiftHomAS</key>
 
   <key>BB.LiftHomAS</key>
 
   <key>BB.LiftHomAS</key>
 
   <key>borderbasis.LiftHomAS</key>
 
   <key>borderbasis.LiftHomAS</key>
   <wiki-category>Package_borderbasis</wiki-category>
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   <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.LiftHomAS

Computes the homogeneous border basis scheme generators obtained from lifting of AS neighbours.

Syntax

BB.LiftHomAS(OO:LIST):LIST

Description

This command computes the equations defining the homogeneous border basis scheme and coming from the lifting of across-the-street neighbours.

  • @param OO A list of terms representing an order ideal. The second element is of type POLY.

  • @return A list of generators of the homogeneous border basis scheme ideal. The polynomials will belong to the ring BBS=K[c_{ij}].

BB.LiftAS

BB.LiftASViaServer

BB.LiftND

BB.LiftNDViaServer

BB.LiftHomND