Perfectoid spaces

Details Perfectoid spaces Perfectoid spaces

2011-11-21

arxiv.org/abs/1111.4914v1

Mathematics

Algebraic Geometry

51 pages, 2 figures

Scientific paper

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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