ApCoCoA-1:BB.GenericBB: Difference between revisions

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fixing keys
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<command>
<command>
     <title>borderbasis.GenericBB</title>
     <title>BB.GenericBB</title>
     <short_description>generic border basis</short_description>
     <short_description>generic border basis</short_description>
<syntax>
<syntax>
$borderbasis.GenericBB(OO:LIST):LIST
BB.GenericBB(OO:LIST):LIST
</syntax>
</syntax>
     <description>
     <description>
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     </description>
     </description>
     <key>kreuzer</key>
     <key>kreuzer</key>
    <key>bb.genericbb</key>
     <key>borderbasis.genericbb</key>
     <key>borderbasis.genericbb</key>
     <wiki-category>Package_borderbasis</wiki-category>
     <wiki-category>Package_borderbasis</wiki-category>
</command>
</command>

Revision as of 19:47, 8 November 2007

BB.GenericBB

generic border basis

Syntax

BB.GenericBB(OO:LIST):LIST

Description

Computes the "generic" border basis w.r.t. an order ideal OO i.e. the polys <formula>g_j = b_j - \sum_i c_{ij} t_i</formula>. The input is a list of terms OO (2nd element of type POLY). The output is a list of POLY in a "universal family ring" UF where <formula>UF = K[x_1,..,x_n,c_{ij}]</formula>.