Hodge-Tate decomposition for non-smooth spaces

2019/09/22 by Haoyang Guo, Guo, Haoyang · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1909.09917

Abstract

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.

Citations

• Relative p-adic Hodge theory, II: Imperfect period rings

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• A p-adic Simpson correspondence for singular rigid-analytic varieties

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