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

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{{Version|1}}
 
<command>
 
<command>
    <title>borderbasis.HomBBscheme</title>
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  <title>BB.HomBBscheme</title>
    <short_description>Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic hom. mult. matrices</short_description>
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  <short_description>Computes the defining equations of a homogeneous border basis scheme.</short_description>
 +
 
 
<syntax>
 
<syntax>
$borderbasis.HomBBscheme(OO:LIST):IDEAL
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BB.HomBBscheme(OO:LIST):IDEAL
 
</syntax>
 
</syntax>
    <description>
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  <description>
Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices. The input is an order ideal OO (2nd element of type POLY). The output is an ideal in the ring BBS = K[c_{ij}].
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Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.
    </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 of <tt>OO</tt> must be a non-constant polynomial.</item>
    <key>borderbasis.hombbscheme</key>
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  <item>@return A list of polynomials representing the defining equations of the homogeneous border basis scheme. The polynomials will belong to the ring <tt>BBS=K[c_{ij}]</tt>.</item>
    <key>borderbasishombbscheme</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.BBscheme|BB.BBscheme</see>
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  <key>HomBBscheme</key>
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  <key>BB.HomBBscheme</key>
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  <key>borderbasis.HomBBscheme</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.HomBBscheme

Computes the defining equations of a homogeneous border basis scheme.

Syntax

BB.HomBBscheme(OO:LIST):IDEAL

Description

Computes the defining equations of the homogeneous border basis scheme using the commutators of the generic homogeneous multiplication matrices.

  • @param OO A list of terms representing an order ideal. The second element of OO must be a non-constant polynomial.

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

BB.BBscheme