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Hodge-Tate decomposition for non-smooth spaces - MaRDI portal

Hodge-Tate decomposition for non-smooth spaces (Q6160175)

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scientific article; zbMATH DE number 7683518
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Hodge-Tate decomposition for non-smooth spaces
scientific article; zbMATH DE number 7683518

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    Hodge-Tate decomposition for non-smooth spaces (English)
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    9 May 2023
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    Summary: In this article, we generalize the Hodge-Tate decomposition of \(p\)-adic étale cohomology to non-smooth rigid spaces. Our strategy is to study pro-étale cohomology of rigid spaces introduced by Scholze, using the resolution of singularities and the simplicial method.
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    \(p\)-adic Hodge theory
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    étale cohomology
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    rigid analytic spaces
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    resolution of singularities
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