ON THE COHOMOLOGY OF THE AFFINE SPACE

Wieslawa Niziol (1) , Pierre Colmez (2)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 IMJ - Institut de Mathématiques de Jussieu

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

Domains: Mathematics [math]; Number Theory [math.NT]; Mathematics [math]; Algebraic Geometry [math.AG]

Wieslawa Niziol, Pierre Colmez. ON THE COHOMOLOGY OF THE AFFINE SPACE. p-adic Hodge Theory. Simons Symposia., pp.71-80, 2020, ⟨10.1007/978-3-030-43844-9_2⟩. ⟨ensl-01663178v2⟩