Perfectoid spaces
Peter Scholze
| Number | 31 |
|---|---|
| Author | Prof. Dr. Peter Scholze |
| Year | 2011 |
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.
