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,\\mathcal{F})=H^{i}(Y,f_{*}\\mathcal{F}).

随便看

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。