Galois lattices and strongly divisible lattices in the unipotent case

被引：3

作者：

Gao, Hui ^{[1
]}

机构：

[1] Peking Univ, Beijing Int Ctr Math Res, 5 Yiheyuan Rd, Beijing 100871, Peoples R China

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2017年 / 728卷

关键词：

SEMI-STABLE REPRESENTATIONS; P-ADIC REPRESENTATIONS; CONSTRUCTION; CONJECTURE;

D O I：

10.1515/crelle-2014-0119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime. We prove that there is an anti- equivalence between the category of unipotent strongly divisible lattices of weight p 1 and the category of Galois stable Z(p)- lattices in unipotent semi-stable representations with Hodge-Tate weights in {0,....,p-1}. This completes the last remaining piece of Breuil's conjecture ([ 6, Conjecture 2.2.6]).

引用

页码：263 / 299

页数：37

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