ON THE COHOMOLOGY OF THE AFFINE SPACE

Abstract : — 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.
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Submitted on : Wednesday, December 13, 2017 - 6:31:39 PM
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  • HAL Id : ensl-01663178, version 1

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

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