Perfectoid spaces
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2011
- arXiv:
- arXiv:1111.4914
- Bibcode:
- 2011arXiv1111.4914S
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Commutative Algebra;
- 14G10;
- 14G17;
- 14G20;
- 14G22;
- 11S15;
- 12J25
- E-Print:
- 51 pages, 2 figures