Solution
= Solution
The irreducible <affine hypersurface> $y^2-z^3=0$ in the $(y,z)$-plane has dimension one, while a closed point has dimension zero. Therefore
$$
\boxed{\dim C=1,
\qquad
\dim\{P\}=\dim\{Q\}=0}.
$$
= Solution
The irreducible <affine hypersurface> $y^2-z^3=0$ in the $(y,z)$-plane has dimension one, while a closed point has dimension zero. Therefore
$$
\boxed{\dim C=1,
\qquad
\dim\{P\}=\dim\{Q\}=0}.
$$