Serre’s twisting theorem

Let $X$ be a scheme, and $𝔏$ an ample invertible sheaf on $X$. Then for any coherent sheaf $ℱ$, and sufficiently large $n$, $H^i(ℱ\otimes {𝔏}^n)=0$, that is, the higher sheaf cohomology of $ℱ\otimes {𝔏}^n$ is trivial.