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Book Sections Year : 2020

ON THE COHOMOLOGY OF THE AFFINE SPACE

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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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Dates and versions

ensl-01663178 , version 1 (13-12-2017)
ensl-01663178 , version 2 (14-12-2020)

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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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