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arXiv · 1111.4914

Perfectoid spaces

Peter Scholze
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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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Peter Scholze. 2011-11-21. Perfectoid spaces. https://arxiv.org/abs/1111.4914

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