ON THE COHOMOLOGY OF THE AFFINE SPACE

Pierre Colmez (1) , Wieslawa Niziol (2)

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

— 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.

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Pierre Colmez, Wieslawa Niziol. ON THE COHOMOLOGY OF THE AFFINE SPACE. 2017. ⟨ensl-01663178v1⟩