REDUCTIONS OF 2-DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE L-INVARIANT

被引：1

作者：

Bergdall, John ^{[1
]}

Levin, Brandon ^{[2
]}

Liu, Tong ^{[3
]}

机构：

[1] Bryn Mawr Coll, Dept Math, 101 N Merion Ave, Bryn Mawr, PA 19010 USA

[2] Univ Arizona, Dept Math, 617 N Santa Rita Ave, Tucson, AZ 85721 USA

[3] Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2023年 / 22卷 / 06期

关键词：

p-adic Hodge theory; semistable representations; local Galois representations modulo p; CONSTRUCTION; CONJECTURE; FORMS;

D O I：

10.1017/S1474748022000081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine reductions of 2-dimensional, irreducible, semistable, and non-crystalline representations of Gal ((Q) over bar (p)/Q(p) ) with Hodge-Tate weights 0 < k -1 and with r-invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for k >= p.

引用

页码：2619 / 2644

页数：26

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