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

被引：2

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

共 24 条

[1]

Anni S, 2019, J THEOR NOMBR BORDX, V31, P727

[2] Reductions of Some Two-Dimensional Crystalline Representations via Kisin Modules [J].

Bergdall, John ;

Levin, Brandon .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (04) :3170-3197

[3] Upper bounds for constant slope p-adic families of modular forms [J].

Bergdall, John .

SELECTA MATHEMATICA-NEW SERIES, 2019, 25 (04)

[4] Construction of some families of 2-dimensional crystalline representations [J].

Berger, L ;

Li, HF ;

Zhu, HJ .

MATHEMATISCHE ANNALEN, 2004, 329 (02) :365-377

[5] Local constancy for the reduction mod p of 2-dimensional crystalline representations [J].

Berger, Laurent .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2012, 44 :451-459

[6]

Breuil C, 2002, DUKE MATH J, V115, P205

[7]

Breuil C, 1997, MATH ANN, V307, P191, DOI 10.1007/s002080050031

[8] A counterexample to the Gouvea-Mazur conjecture [J].

Buzzard, K ;

Calegari, F .

COMPTES RENDUS MATHEMATIQUE, 2004, 338 (10) :751-753

[9] Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations [J].

Buzzard, Kevin ;

Gee, Toby .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2009, 2009 (12) :2303-2317

[10]

Chitrao A., SEMISTABLE REPRESENT, V2021, DOI [10.48550/arXiv.2109.13676, DOI 10.48550/ARXIV.2109.13676]

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