ApCoCoA-1:BB.HomASgens: Difference between revisions

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<command>
<command>
     <title>borderbasis.HomASgens</title>
     <title>BB.HomASgens</title>
     <short_description>generators of vanishing ideal of homogeneous border basis scheme</short_description>
     <short_description>generators of vanishing ideal of homogeneous border basis scheme</short_description>
<syntax>
<syntax>
$borderbasis.HomASgens(K:INT,OO:LIST):LIST
BB.HomASgens(K:INT,OO:LIST):LIST
</syntax>
</syntax>
     <description>
     <description>
Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of ASneighbors(OO). The inputs are an integer K in the range 1..Len(ASneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>.
Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of ASneighbors(OO). The inputs are an integer K in the range 1..Len(ASneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>.
     </description>
     </description>
     <see>borderbasis.ASgens</see>
     <see>BB.ASgens</see>
     <see>borderbasis.HomNDgens</see>
     <see>BB.HomNDgens</see>
     <see>borderbasis.NDgens</see>
     <see>BB.NDgens</see>
     <key>kreuzer</key>
     <key>kreuzer</key>
    <key>bb.homasgens</key>
     <key>borderbasis.homasgens</key>
     <key>borderbasis.homasgens</key>
     <wiki-category>Package_borderbasis</wiki-category>
     <wiki-category>Package_borderbasis</wiki-category>
</command>
</command>

Revision as of 19:48, 8 November 2007

BB.HomASgens

generators of vanishing ideal of homogeneous border basis scheme

Syntax

BB.HomASgens(K:INT,OO:LIST):LIST

Description

Computes the generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of ASneighbors(OO). The inputs are an integer K in the range 1..Len(ASneighbors(OO)) and a list OO of terms that specify an order ideal. The output is a list of polynomials in the ring <formula>BBS=K[c_{ij}]</formula>.

BB.ASgens

BB.HomNDgens

BB.NDgens