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.
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页码：1989 / 2083
页数：95
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