Chow ring of projective space (source code)

= Chow ring of projective space
{c}
{title2=$A^*(\mathbb P^r)$}

For the hyperplane class $H$,
$$
A^*(\mathbb P^r)\cong\mathbb Z[H]/(H^{r+1}),
$$
and $A_k(\mathbb P^r)\cong\mathbb Z$ is generated by a linear $\mathbb P^k$.