2012/11/07 by Peter Scholze · 3 citations
paper · doi:10.1007/s10240-012-0042-x
crossref issued 2012/11/07 · crossref published 2012/11/07 · crossref published-online 2012/11/07 · crossref created 2013/11/08 · crossref deposited 2026/02/17 · crossref indexed 2026/07/31
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.