Local cohomology on diagrams of schemes

Abstract

We define local cohomology on a diagram of schemes, and discuss basic properties of it. In particular, we prove the independence theorem and the flat base change for local cohomology on diagrams of schemes. We also introduce the notion of G-localness of a G-scheme. It is an equivariant analogue of localness of a scheme. As an application, we prove that… (More)

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Cite this paper

@inproceedings{Hashimoto2008LocalCO, title={Local cohomology on diagrams of schemes}, author={Mitsuyasu Hashimoto and Masahiro Ohtani}, year={2008} }