Hodge-Tate decomposition for non-smooth spaces

Published 22 Sep 2019 in math.AG and math.NT | (1909.09917v2)

Abstract: In this article, we generalize the Hodge-Tate decomposition of p-adic \'etale cohomology to non-smooth rigid spaces. Our strategy is to study pro-\'etale cohomology of rigid spaces introduced by Scholze, using the resolution of singularities and the simplicial method.

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Haoyang Guo

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