A remark on crystalline cohomology

2024/06/28 by Moritz Kerz, Kerz, Moritz, Georg Tamme +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2406.19772

openalex publication_date 2024/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a new approach to crystalline cohomology based on the observation that one can lift smooth algebras uniquely "up to coherent homotopy."

Related

• Crystalline cohomology and de Rham cohomology
• Torsion in the crystalline cohomology of singular varieties
• Crystalline cohomology of rigid analytic spaces
• Crystals and Chern classes
• Revisiting derived crystalline cohomology