Perfectoid spaces
Abstract
We introduce a certain class of socalled 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 weightmonodromy conjecture in certain cases by reduction to equal characteristic.
 Publication:

arXiv eprints
 Pub Date:
 November 2011
 arXiv:
 arXiv:1111.4914
 Bibcode:
 2011arXiv1111.4914S
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Commutative Algebra;
 14G10;
 14G17;
 14G20;
 14G22;
 11S15;
 12J25
 EPrint:
 51 pages, 2 figures