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the Hilbert-Poincare series wrt a multigrading
HilbertSeriesMultiDeg(TAGGED("Quotient"), WM:MAT):TAGGED("$hp.PSeries")
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***** NOT YET IMPLEMENTED *****
This function computes the Hilbert-Poincare series of M.
The input, M, must be homogeneous with respect to the grading defined
by the second argument.
The function
PoincareMultiDeg
is exacly the same as
HilbertSeriesMultiDeg
.
NOTES:
CoCoA-4 has an intrinsic limitation on multigradings (
Weights Modifier
)
which does not allow zero-entries in the first row of the defining
matrix.
This function performs all the appropriate conversions for computing the
HilbertSeries wrt any positive grading (
IsPositiveGrading
).
Use R ::= QQ[x,y,z];
WM := Mat([[1,0,0],[1,-1,0]]);
HilbertSeriesMultiDeg(R/Ideal(Indets())^2, WM);
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