Geodesic
Perfectoid Spaces
Scholze, Peter1 
1 Mathematisches Institut, Universität Bonn 53115, Bonn Germany
Publications Mathématiques de l'IHÉS, Tome 116 (2012), pp. 245-313

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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.

DOI : 10.1007/s10240-012-0042-x

Scholze, Peter 1

1 Mathematisches Institut, Universität Bonn 53115, Bonn Germany 
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Scholze, Peter. Perfectoid Spaces. Publications Mathématiques de l'IHÉS, Tome 116 (2012), pp. 245-313. doi: 10.1007/s10240-012-0042-x

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