hilbertPolynomial(Module) -- compute the Hilbert polynomial of the module

• Function: hilbertPolynomial

• Usage:

  hilbertPolynomial M

• Inputs:
  • M, a module
• Optional inputs:
  • Projective => ..., default value true, choose how to display the Hilbert polynomial
• Outputs:
  • a projective Hilbert polynomial, unless the option Projective is false

i1 : R = QQ[a..d];

i2 : M = module monomialCurveIdeal(R, {1,3,4});

i3 : h = hilbertPolynomial M

o3 = 3*P  - 4*P  + P
        0      1    3

o3 : ProjectiveHilbertPolynomial

i4 : hilbertPolynomial(M, Projective=>false)

     1 3    2   13
o4 = -i  + i  - --i
     6           6

o4 : QQ[i]