Hodge-Tate decomposition for non-smooth spaces

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.

Revised version, exposition is improved; to appear in J. Eur. Math. Soc

References in corpus (1)

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

Cited by in corpus (2)

• The $p$-adic Corlette-Simpson correspondence for abeloids
• Cohomological Descent for Faltings' $p$-adic Hodge Theory and Applications