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arXiv · 1909.09917

Hodge-Tate decomposition for non-smooth spaces

Haoyang Guo
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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.

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Haoyang Guo. 2022-01-21. Hodge-Tate decomposition for non-smooth spaces. https://arxiv.org/abs/1909.09917

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