SLOPE FILTRATIONS IN FAMILIES

被引：6

作者：

Liu, Ruochuan ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2013年 / 12卷 / 02期

关键词：

slope filtration; phi-modules; RHAM REPRESENTATIONS;

D O I：

10.1017/S1474748012000709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns arithmetic families of phi-modules over reduced affinoid spaces. For such a family, we first prove that the slope polygons are lower semicontinuous around any rigid point. We further prove that if the slope polygons are locally constant around a rigid point, then around this point, the family has a global slope filtration after base change to some extended Robba ring.

引用

页码：249 / 296

页数：48

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