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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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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01663178
Contributor : Wieslawa Niziol <>
Submitted on : Monday, December 14, 2020 - 9:34:43 PM
Last modification on : Thursday, December 24, 2020 - 3:30:00 AM

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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⟩

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