p-adic cohomology

2006/01/20 by Kiran S. Kedlaya, Kedlaya, Kiran S.
Computer Science · Mathematics · #14F30 #14F40 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math/0601507

openalex publication_date 2006/01/20 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

This is a survey of some recent developments concerning the p-adic cohomology of algebraic varieties over fields of positive characteristic and local fields of mixed characteristic, plus some related areas like p-adic Hodge theory.

Related

• Hodge Theory of p-adic varieties: a survey
• p-adic geometry
• Relative p-adic Hodge theory: Foundations
• Computing zeta functions via p-adic cohomology
• Integral p-adic Hodge theory