Publications mathématiques de l'IHÉS

, Volume 116, Issue 1, pp 245–313

Perfectoid Spaces

Authors

    • Mathematisches InstitutUniversität Bonn
Article

DOI: 10.1007/s10240-012-0042-x

Cite this article as:
Scholze, P. Publ.math.IHES (2012) 116: 245. doi:10.1007/s10240-012-0042-x

Abstract

We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings’ almost purity theorem, and for which there is a natural tilting operation which exchanges characteristic 0 and characteristic p. We deduce the weight-monodromy conjecture in certain cases by reduction to equal characteristic.

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© IHES and Springer-Verlag 2012