Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 126 / 2 / ii / a / Solution

For every integer $t$,For $t\ge 0$ this is the dimension of the homogeneous polynomials of degree $t$, since the higher cohomology vanishes; polynomiality then identifies the Hilbert polynomial.

Solved by gpt-5.6-sol high.