Package sagbi/SB.GetHS
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| This article is about a function from ApCoCoA-2. |
SB.GetHS
This function returns the Hilbert series of a given standard-graded subalgebra.
Syntax
SB.GetHS(ref S: TAGGED(<quotes>$apcocoa/sagbi.Subalgebra</quotes>)): TAGGED(<quotes>$hp.PSeries</quotes>)
Description
This function computes the Hilbert series of S, stores it in S and returns it. If the Hilbert series of S was already computed and stored in S, then it returns the stored Hilbert series.
@param ref S A standard-graded subalgebra, i.e. a subalgebra generated by homogeneous polynomials
@return The Hilbert series of S
Example
Use R ::= QQ[x,y,z]; S := SB.Subalgebra(R,[x^2,y+z]); PrintLn SB.GetHS(S); ----------------------------------------------------------------------------- --- Non-simplified HilbertPoincare' Series --- (1) / ( (1-t^2)*(1-t) )
See also
Package sagbi/SB.GetTruncSAGBI
