A six-functor formalism for syntomic cohomology of p-adic formal schemes
Abstract
We construct a six-functor formalism on the category of derived p-adic formal schemes, which categorifies their syntomic cohomology as introduced by Bhatt-Morrow-Scholze. This is done by factoring this six-functor formalism through the six-functor formalism on analytic stacks in the sense of Clausen-Scholze.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Geometry
Publication details
- Journal / source
- University of Regensburg Publication Server (University of Regensburg)
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Thesis