Paraboline variation over p-adic families of (φ, Γ)-modules

被引：12

作者：

Bergdall, John ^{[1
]}

机构：

[1] Boston Univ, Dept Math & Stat, 111 Cummington Mall, Boston, MA 02215 USA

来源：

COMPOSITIO MATHEMATICA | 2017年 / 153卷 / 01期

基金：

美国国家科学基金会;

关键词：

(phi; Gamma)-modules; trianguline representations; GALOIS REPRESENTATIONS; ANALYTIC FAMILIES; MODULAR-FORMS; COHOMOLOGY; SPACES; FIELDS;

D O I：

10.1112/S0010437X16007831

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the p-adic variation of triangulations over p-adic families of (phi, Gamma)-modules. In particular, we study certain canonical sub-filtrations of the pointwise triangulations and show that they extend to affinoid neighborhoods of crystalline points. This generalizes results of Kedlaya, Pottharst and Xiao and (independently) Liu in the case where one expects the entire triangulation to extend. We also study the ramification of weight parameters over natural p-adic families.

引用

页码：132 / 174

页数：43

共 50 条

[21] Galois level and congruence ideal for p-adic families of finite slope Siegel modular forms [J].

Conti, Andrea .

COMPOSITIO MATHEMATICA, 2019, 155 (04) :776-831

[22] On p-Adic L-Functions for Hilbert Modular Forms [J].

Bergdall, John ;

Hansen, David .

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 298 (1489)

[23] Local ε-conjecture and p-adic differential equations [J].

Ishida, Tetsuya ;

Nakamura, Kentaro .

DOCUMENTA MATHEMATICA, 2024, 29 :1125-1156

[24] Plectic p-adic invariants [J].

Fornea, Michele ;

Guitart, Xavier ;

Masdeu, Marc .

ADVANCES IN MATHEMATICS, 2022, 406

[25] A VERSION OF p-ADIC MINIMALITY [J].

Cluckers, Raf ;

Leenknegt, Eva .

JOURNAL OF SYMBOLIC LOGIC, 2012, 77 (02) :621-630

[26] p-adic interpolation of iterates [J].

Poonen, Bjorn .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2014, 46 :525-527

[27] On a p-adic wave equation [J].

Kochubei, Anatoly N. .

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 265 (01) :143-147

[28] On the Arithmetic Fundamental Lemma conjecture over a general p-adic field [J].

Mihatsch, A. ;

Zhang, W. .

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2024, 26 (12) :4831-4901

[29] The geometry of Hida families II: A-adic (φ, Γ)-modules and A-adic Hodge theory [J].

Cais, Bryden .

COMPOSITIO MATHEMATICA, 2018, 154 (04) :719-760

[30] ON THE EXCEPTIONAL ZEROS OF p-NON-ORDINARY p-ADIC L-FUNCTIONS AND A CONJECTURE OF PERRIN-RIOU [J].

Benois, Denis ;

Buyukboduk, Kazim .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (01) :231-284

← 1 2 3 4 5 →