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

From ApCoCoAWiki
(removing Kaspar's command refs in the descriptions since the man pages look strange)
(Reviewed text)
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<command>
 
<command>
 
     <title>borderbasis.HomNDgens</title>
 
     <title>borderbasis.HomNDgens</title>
     <short_description>Compute gens of vanishing ideal of hom. BB scheme corresp. to lifting of an element of NDneighbors(OO)</short_description>
+
     <short_description>generators of vanishing ideal of homogeneous border basis scheme</short_description>
 
<syntax>
 
<syntax>
 
$borderbasis.HomNDgens(K:INT,OO:LIST):LIST
 
$borderbasis.HomNDgens(K:INT,OO:LIST):LIST
 
</syntax>
 
</syntax>
 
     <description>
 
     <description>
Computes the generators of the vanishing ideal of the homogenous border basis scheme corresponding to the lifting of the K-th element of NDneighbors(OO). The input is an integer K In 1..Len(NDneighbors(OO)) and 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>.
+
Computes the generators of the vanishing ideal of the homogenous border basis scheme corresponding to the lifting of the K-th element of NDneighbors(OO). The input is an integer K in the range 1..Len(NDneighbors(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>borderbasis.HomASgens</see>
 +
    <see>borderbasis.NDgens</see>
 
     <key>Kreuzer</key>
 
     <key>Kreuzer</key>
 
     <key>borderbasis.homndgens</key>
 
     <key>borderbasis.homndgens</key>

Revision as of 22:36, 7 November 2007

borderbasis.HomNDgens

generators of vanishing ideal of homogeneous border basis scheme

Syntax

$borderbasis.HomNDgens(K:INT,OO:LIST):LIST

Description

Computes the generators of the vanishing ideal of the homogenous border basis scheme corresponding to the lifting of the K-th element of NDneighbors(OO). The input is an integer K in the range 1..Len(NDneighbors(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>.

borderbasis.ASgens

borderbasis.HomASgens

borderbasis.NDgens