Prismatic F -gauges and Fontaine–Laffaille modules
Abstract
ABSTRACT Let k be a perfect field of characteristic p and let W ( k ) be its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category of quasi-coherent sheaves on the syntomification of W ( k ) spanned by objects whose Hodge–Tate weights are between left bracket 0 comma p minus 2 right bracket [ 0 , p − 2 ] $[0,p-2]$ and an appropriate derived category of Fontaine–Laffaille modules.
Fields of Study & Subjects
Rings
Modules
and Algebras
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Compositio Mathematica
- Publisher
- Cambridge University Press (CUP)
- Volume
- 162
- Issue
- 2
- Pages
- 277–326
- Publication date
- 1 February 2026
- Language
- EN