Tilting of Perfectoid Spaces

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Tilting relates perfectoid spaces over a perfectoid field to spaces over its characteristic-p tilt. Follow the functorial definition and the gluing theorem, noting the identification of underlying topological spaces.

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p-adic number field · Sheaf · Equivalence of Categories · Functor

Where to read

  1. Start here: Perfectoid Spaces

    Peter Scholze · Research paper · English · Free full text

    Section 6, Definition 6.16 and Proposition 6.17, printed p. 38

    Checked 2026-10-16

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