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

## Synopsis

• Function: dim
• Usage:
dim P
• Inputs:
• Outputs:

## 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