Leray spectral sequence for an affine morphism

Let $f:X\to Y$ be an affine morphism of schemes (that is, every point has an affine neighborhood whose preimage is affine). Then $R^i{f}_{*}=0$ for every $i>0$, and the Leray spectral sequence tells us that

$$H^i(X,ℱ)=H^i(Y,f_{*}ℱ).$$

Title	Leray spectral sequence for an affine morphism
Canonical name	LeraySpectralSequenceForAnAffineMorphism
Date of creation	2013-03-22 14:08:46
Last modified on	2013-03-22 14:08:46
Owner	archibal (4430)
Last modified by	archibal (4430)
Numerical id	5
Author	archibal (4430)
Entry type	Example
Classification	msc 14F99
Classification	msc 18G40
Classification	msc 55T05