Perfectoid spaces
Algebraic Geometry
2011-11-22 v1 Commutative Algebra
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.
Cite
@article{arxiv.1111.4914,
title = {Perfectoid spaces},
author = {Peter Scholze},
journal= {arXiv preprint arXiv:1111.4914},
year = {2011}
}
Comments
51 pages, 2 figures