dim(ProjectiveHilbertPolynomial) -- the degree of the Hilbert polynomial

Synopsis

Function: dim
Usage:

dim P
Inputs:
- P, a projective Hilbert polynomial
Outputs:
- an integer

Description

The command dimis designed so that the result is the dimension of the projective scheme that may have been used to produce the given Hilbert polynomial.

i1 : V = Proj(QQ[x_0..x_5]/(x_0^3+x_5^3))

o1 = V

o1 : ProjectiveVariety

i2 : P = hilbertPolynomial V

o2 = P  - 3*P  + 3*P
      2      3      4

o2 : ProjectiveHilbertPolynomial

i3 : dim P

o3 = 4

Ways to use this method: