TRIPLE PRODUCT p-ADIC L-FUNCTIONS ASSOCIATED TO FINITE SLOPE p-ADIC FAMILIES OF MODULAR FORMS

被引：11

作者：

Andreatta, Fabrizio ^{[1
]}

Iovita, Adrian ^{[2
,3
]}

机构：

[1] Univ Milan, Dept Math, Milan, Italy

[2] Concordia Univ, Dept Math & Stat, Montreal, PQ, Canada

[3] Padova Univ, Dept Math, Padua, Italy

来源：

DUKE MATHEMATICAL JOURNAL | 2021年 / 170卷 / 09期

关键词：

overconvergent modular forms; de Rham cohomology; p-adic L-functions; overconvergent modular sheaves; vector bundles with marked sections; VALUES; CYCLES;

D O I：

10.1215/00127094-2020-0076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a positive prime integer. We construct p-adic families of de Rham cohomology classes and therefore p-adic families of nearly overconvergent elliptic modular forms. As an application we define triple product p-adic L-functions attached to three finite slope families of modular forms satisfying certain assumptions.

引用

页码：1989 / 2083

页数：95

共 50 条

[31] Controlling λ-invariants for the double and triple product p-adic L-functions
Delbourgo, Daniel
Gilmore, Hamish
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2021, 33 (03): : 732 - 778
[32] P-adic L-functions in universal deformation families
Loeffler, David
ANNALES MATHEMATIQUES DU QUEBEC, 2023, 47 (01): : 117 - 137
[33] OVERCONVERGENT MODULAR SYMBOLS AND p-ADIC L-FUNCTIONS
Pollack, Robert
Stevens, Glenn
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2011, 44 (01): : 1 - 42
[34] P-ADIC REGULATORS ON CURVES AND SPECIAL VALUES OF P-ADIC L-FUNCTIONS
COLEMAN, R
DESHALIT, E
INVENTIONES MATHEMATICAE, 1988, 93 (02) : 239 - 266
[35] p-adic families of modular forms and p-adic Abel-Jacobi maps
Greenberg, Matthew
Seveso, Marco Adamo
ANNALES MATHEMATIQUES DU QUEBEC, 2016, 40 (02): : 397 - 434
[36] p-ADIC L-FUNCTIONS AND THE GEOMETRY OF HIDA FAMILIES
KRAMER-MILLER, Joe
ANNALES DE L INSTITUT FOURIER, 2022, 72 (02) : 727 - 770
[37] L-Invariants, p-Adic Heights, and Factorization of p-Adic L-Functions
Buyukboduk, Kazim
Sakamoto, Ryotaro
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (04) : 2867 - 2943
[38] Families of Bianchi modular symbols: critical base-change p-adic L-functions and p-adic Artin formalism
Daniel Barrera Salazar
Chris Williams
Selecta Mathematica, 2021, 27
[39] Families of Bianchi modular symbols: critical base-change p-adic L-functions and p-adic Artin formalism
Barrera Salazar, Daniel
Williams, Chris
SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (05):
[40] P-adic L-functions in universal deformation families
David Loeffler
Annales mathématiques du Québec, 2023, 47 : 117 - 137

← 1 2 3 4 5 →