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Crystalline cohomology of rigid analytic spaces

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arxiv 2112.14304 v2 pith:GY56VPHS submitted 2021-12-28 math.AG math.NT

Haoyang Guo This is my paper · ORCID
classification math.AGmath.NT
keywords analyticcohomologyrigidspacesarticlecoefficientscrystallinefield
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In this article, we introduce infinitesimal cohomology for rigid analytic spaces that are not necessarily smooth, with coefficients in a p-adic field or Fontaine's de Rham period ring.

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  1. On the Kummer pro-\'etale cohomology of $\mathbb B_{\operatorname{dR}}$

    math.NT 2025-01 conditional novelty 6.0 of 10

    For log smooth rigid analytic varieties, Kummer pro-étale B_dR cohomology is isomorphic to log de Rham cohomology, and logarithmic B_dR^+ cohomology gives degeneration of Hodge-Tate and Hodge-log de Rham spectral sequ...

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