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

Synopsis

Usage:
hilbertPolynomial M
Function: hilbertPolynomial
Inputs:
- M, a module
Outputs:
- a projective Hilbert polynomial, unless the option Projective is false
Optional inputs:
- Projective => ..., -- choose how to display the Hilbert polynomial

We compute the Hilbert polynomial of a module.

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]