Limits of crystalline representations

被引：70

作者：

Berger, L ^{[1
]}

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

COMPOSITIO MATHEMATICA | 2004年 / 140卷 / 06期

关键词：

p-adic representations; crystalline representations; Wach modules; deformations;

D O I：

10.1112/S0010437X04000879

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be the fraction field of the ring of Witt vectors over a perfect field of characteristic p (for example F = Q(p)), and let G(F) be the absolute Galois group of F. The main result of this article is the following: a p-adic representation of G(F), which is a limit of subquotients of crystalline representations with Hodge-Tate weights in an interval [a; b], is itself crystalline with Hodge-Tate weights in [a, b]. In order to show this, we study the (rho, Gamma)-modules attached to crystalline representations, which allows us to improve some results of Fontaine, Wach and Colmez.

引用

页码：1473 / 1498

页数：26

共 23 条

[1]

[Anonymous], 2003, Doc. Math., P99

[2] ZEROS OF POLYNOMIALS OVER LOCAL FIELDS - GALOIS ACTION [J].