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hilbertFunction -- Hilbert function of a module

hilbertFunction(d,M) -- compute the dimension of the degree d part of the module, ring, or ideal M

At the moment, the function is computed simply by calling basis and extracting the number of basis elements.

See also:

  • hilbertSeries -- compute Hilbert series
  • hilbertPolynomial -- compute Hilbert polynomial
  • Ways to use hilbertFunction :

  • hilbertFunction(List,CoherentSheaf)
  • hilbertFunction(List,Ideal)
  • hilbertFunction(List,Module)
  • hilbertFunction(List,ProjectiveVariety)
  • hilbertFunction(List,Ring)
  • hilbertFunction(ZZ,CoherentSheaf)
  • hilbertFunction(ZZ,Ideal)
  • hilbertFunction(ZZ,Module)
  • hilbertFunction(ZZ,ProjectiveVariety)
  • hilbertFunction(ZZ,Ring)

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