Dual projective space
= Dual projective space
{title2=$\mathbb P(V^*)$}
Hyperplanes in $\mathbb P(V)$ are kernels of nonzero linear functionals modulo scalar multiplication. Their parameter space is therefore $\mathbb P(V^*)$, of the same dimension. In particular lines in a <projective plane> are parametrized by another <projective plane>.