Topological polylogarithms and p-adic interpolation of L-values of totally real fields

被引：10
|
作者：
Beilinson, Alexander [1 ]
Kings, Guido [2 ]
Levin, Andrey [3 ]
机构：
[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA
[2] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany
[3] Natl Res Univ HSE, 7 Vavilova Str, Moscow, Russia
来源：
MATHEMATISCHE ANNALEN | 2018年 / 371卷 / 3-4期
关键词：
SHINTANI COCYCLES;
D O I：
10.1007/s00208-018-1645-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop the topological polylogarithm which provides an integral version of Nori's Eisenstein cohomology classes for and yields classes with values in an Iwasawa algebra. This implies directly the integrality properties of special values of L-functions of totally real fields and a construction of the associated p-adic L-function. Using a result of Graf, we also apply this to prove some integrality and p-adic interpolation results for the Eisenstein cohomology of Hilbert modular varieties.
引用
收藏
页码：1449 / 1495
页数：47
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