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

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{{Version|1}}
 
<command>
 
<command>
    <title>BB.LiftHomAS</title>
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  <title>BB.LiftHomAS</title>
    <short_description>homogeneous border basis scheme for the lifting of across-the-street neighbors</short_description>
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  <short_description>Computes the homogeneous border basis scheme generators obtained from lifting of AS neighbours.</short_description>
 +
 
 
<syntax>
 
<syntax>
 
BB.LiftHomAS(OO:LIST):LIST
 
BB.LiftHomAS(OO:LIST):LIST
 
</syntax>
 
</syntax>
    <description>
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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>.
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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.
    </description>
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<itemize>
     <key>kreuzer</key>
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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>
    <key>bb.lifthomas</key>
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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>
    <key>borderbasis.lifthomas</key>
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</itemize>
    <wiki-category>Package_borderbasis</wiki-category>
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  </description>
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  <types>
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     <type>borderbasis</type>
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  </types>
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  <see>ApCoCoA-1:BB.LiftAS|BB.LiftAS</see>
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  <see>ApCoCoA-1:BB.LiftASViaServer|BB.LiftASViaServer</see>
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  <see>ApCoCoA-1:BB.LiftND|BB.LiftND</see>
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  <see>ApCoCoA-1:BB.LiftNDViaServer|BB.LiftNDViaServer</see>
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  <see>ApCoCoA-1:BB.LiftHomND|BB.LiftHomND</see>
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 +
  <key>LiftHomAS</key>
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  <key>BB.LiftHomAS</key>
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  <key>borderbasis.LiftHomAS</key>
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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