Projective dimension theorem
= Projective dimension theorem
{c}
{wiki}
If projective varieties $X,Y\subseteq\mathbb P^n$ have dimensions $r,s$ and $r+s\geq n$, then $X\cap Y$ is nonempty and every component has dimension at least $r+s-n$.
= Projective dimension theorem
{c}
{wiki}
If projective varieties $X,Y\subseteq\mathbb P^n$ have dimensions $r,s$ and $r+s\geq n$, then $X\cap Y$ is nonempty and every component has dimension at least $r+s-n$.