The prismatization of $p$-adic formal schemes

By B. Bhatt, Jacob Lurie. 2022

54 citations recorded by the source corpus.

In this note, we introduce and study the Cartier–Witt stack WCartX attached to a padic formal scheme X as well as some variants. In particular, we reinterpret the notion of prismatic crystals on X and their cohomology in terms of quasicoherent sheaf theory on WCartX in favorable situations.

Subfields: Algebra and Number Theory, Geometry and Topology, Pharmacology

View Paper: https://www.semanticscholar.org/paper/6b42c79a61f5c46cd2fb71b4aef24cb8546ab5bb