The Stacks project

111.6 Cohomology of schemes

There is already a chapter on cohomology of quasi-coherent sheaves, see Cohomology of Schemes, Section 30.1. We have a chapter discussing the derived category of quasi-coherent sheaves on a scheme, see Derived Categories of Schemes, Section 36.1. We have a chapter discussing duality for Noetherian schemes and relative duality for morphisms of schemes, see Duality for Schemes, Section 48.1. We also have chapters on ├ętale cohomology of schemes and on crystalline cohomology of schemes. But most of the material in these chapters is very basic and a lot more could/should be added there.


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