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Lifting the Cartier transform of Ogus-Vologodsky modulo p^n

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Author(s): Daxin Xu (许大昕)
Series: Memoires de la Société Mathématique de France 163
Publisher: Société Mathématique de France
Year: 2019

Language: English
Pages: 138

Chapter 1. Introduction
Chapter 2. Notations and conventions
Chapter 3. Blow-ups and dilatations
Chapter 4. Hopf algebras and groupoids
Chapter 5. Connections and stratifications
Chapter 6. Local constructions of Shiho
Chapter 7. Oyama topoi
Chapter 8. Crystals in Oyama topoi
Chapter 9. Cartier equivalence
Chapter 10. Cartier transform of Ogus-Vologodsky
Chapter 11. Prelude on rings of differential operators
Chapter 12. Comparison with the Cartier transform of Ogus-Vologodsky
Chapter 13. Fontaine modules
Chapter 14. The Fontaine module structure on the crystalline cohomology of a Fontaine module
Bibliography