Publications mathématiques de l IHÉS· 2012Q1
Perfectoid Spaces
- 209citations
- Q1SCImago
- 2012year
Short summary
Peter Scholze introduces perfectoid spaces, a new framework that unifies characteristic 0 and characteristic p fields via a 'tilting' operation, proving the weight-monodromy conjecture in certain cases.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces perfectoid rings and spaces as a natural framework for Faltings' almost purity theorem.
- Defines a 'tilting' operation that exchanges fields of characteristic 0 and characteristic p.
- Deduces the weight-monodromy conjecture in certain cases by reduction to equal characteristic.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Publications mathématiques de l IHÉS, 2012 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics