Guo, Haoyang Hodge-Tate decomposition for non-smooth spaces. (English) Zbl 1523.14049 J. Eur. Math. Soc. (JEMS) 25, No. 4, 1553-1625 (2023). 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. Cited in 3 Documents MSC: 14G22 Rigid analytic geometry 14C30 Transcendental methods, Hodge theory (algebro-geometric aspects) 14G20 Local ground fields in algebraic geometry 14E15 Global theory and resolution of singularities (algebro-geometric aspects) Keywords:\(p\)-adic Hodge theory; étale cohomology; rigid analytic spaces; resolution of singularities × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] Beilinson, A.: p-adic periods and derived de Rham cohomology. J. Amer. Math. 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