Crystalline cohomology and de Rham cohomology

Abstract

The goal of this short paper is to give a slightly different perspective on the comparison between crystalline cohomology and de Rham cohomology. Most notably, we reprove Berthelot's comparison result without using pd-stratifications, linearisations, and pd-differential operators.

arXiv comment10 pages, comments welcome!

Cited by in corpus (3)

• Some recent advances in topological Hochschild homology
• The crystalline comparison of Ainf-cohomology: the case of good reduction
• The de Rham-Fargues-Fontaine cohomology