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- birational geometry
- Hodge theory MOC
- log differential forms
- Cohen-Macaulay
Kodaira vanishing
A generalization:
Nakano vanishing
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A generalization:
A cohomology theory for mixed characteristic rings, inspired by calculations in stable homotopy and Galois representations. Used in the proof of a mixed characteristic analog of Kodaira vanishing, yielding a minimal model program in the birational geometry of arithmetic threefolds. Used in a proof of the Bott vanishing theorem in algebraic K theory.