On the cohomology of the affine space

2017/07/04 by Pierre Colmez, Colmez, Pierre, Wiesława Nizioł +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1707.01133

openalex publication_date 2017/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the p-adic geometric pro-étale cohomology of the affine space (in any dimension). This cohomogy is non-zero, contrary to the étale cohomology, and can be described by means of differential forms.

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