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hilbertFunction -- compute the Hilbert function
Description
The Hilbert function is a function gives the dimension of the given degree piece of an object.
See also
degreesRing
-- the ring of degrees
reduceHilbert
-- reduce a Hilbert series expression
poincare
-- assemble degrees into polynomial
poincareN
-- assemble degrees into polynomial
hilbertSeries
-- compute the Hilbert series
hilbertPolynomial
-- compute the Hilbert polynomial
Ways to use
hilbertFunction
:
hilbertFunction(List,Ideal)
-- compute the Hilbert function of the quotient of the ambient ring by an ideal
hilbertFunction(ZZ,Ideal), see
hilbertFunction(List,Ideal)
-- compute the Hilbert function of the quotient of the ambient ring by an ideal
hilbertFunction(List,Module)
-- compute the Hilbert function of a module
hilbertFunction(ZZ,Module), see
hilbertFunction(List,Module)
-- compute the Hilbert function of a module
hilbertFunction(List,ProjectiveVariety)
-- compute the Hilbert function of a projective variety
hilbertFunction(ZZ,ProjectiveVariety), see
hilbertFunction(List,ProjectiveVariety)
-- compute the Hilbert function of a projective variety
hilbertFunction(List,Ring)
-- compute the Hilbert function of a ring
hilbertFunction(ZZ,Ring), see
hilbertFunction(List,Ring)
-- compute the Hilbert function of a ring