JournalsjemsVol. 25, No. 4pp. 1553–1625

Hodge–Tate decomposition for non-smooth spaces

  • Haoyang Guo

    University of Michigan, Ann Arbor, USA; Max Planck Institut für Mathematik, Bonn, Germany
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Abstract

In this article, we generalize the Hodge–Tate decomposition of -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.

Cite this article

Haoyang Guo, Hodge–Tate decomposition for non-smooth spaces. J. Eur. Math. Soc. 25 (2023), no. 4, pp. 1553–1625

DOI 10.4171/JEMS/1222