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

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     <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>.
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<itemize>
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  <item>@param <em>K</em> The generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by ASneighbors(OO) will be computed.</item>
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  <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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  <item>@return A list of generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by ASneighbors(OO).</item>
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</itemize>
 
     </description>
 
     </description>
 
     <see>BB.ASgens</see>
 
     <see>BB.ASgens</see>

Revision as of 14:17, 22 April 2009

BB.HomASgens

Compute the generators of the vanishing ideal of a 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>.

  • @param K The generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by ASneighbors(OO) will be computed.

  • @param OO A list of terms representing an order ideal.

  • @return A list of generators of the vanishing ideal of the homogeneous border basis scheme corresponding to the lifting of the K-th element of the list returned by ASneighbors(OO).

BB.ASgens

BB.HomNDgens

BB.NDgens