English

Absolute prismatic cohomology

Algebraic Geometry 2022-01-19 v1 Number Theory

Abstract

The goal of this paper is to study the absolute prismatic cohomology of pp-adic formal schemes. We do so by recasting the notion of a prismatic crystal on Spf(Zp)\mathrm{Spf}(\mathbf{Z}_p) in terms of quasicoherent sheaves on a geometric object we call the Cartier-Witt stack.

Keywords

Cite

@article{arxiv.2201.06120,
  title  = {Absolute prismatic cohomology},
  author = {Bhargav Bhatt and Jacob Lurie},
  journal= {arXiv preprint arXiv:2201.06120},
  year   = {2022}
}

Comments

242 pages, comments welcome

R2 v1 2026-06-24T08:51:43.700Z