Perfectoid Spaces

被引：179
作者：
Scholze, Peter [1 ]
机构：
[1] Univ Bonn, Math Inst, D-53115 Bonn, Germany
来源：
PUBLICATIONS MATHEMATIQUES DE L IHES | 2012年 / 116期
关键词：
WEIGHT-MONODROMY CONJECTURE;
D O I：
10.1007/s10240-012-0042-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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收藏
页码：245 / 313
页数：69
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