0.1 A lemma of Kempf
... Theorem 1 (Serre). Let X = SpecA be an affine scheme, F a quasi-coherent
sheaf. Then H i (X, F) = 0 for i ≥ 1.
We shall prove this result following [?]. The idea is that X has a very nice
basis: namely, the family of all sets D(f ), f ∈ A. These are themselves affine,
and moreover the intersection o ...