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

Beilinson, Alexander and Kings, Guido and Levin, Andrey (2018) Topological polylogarithms and p-adic interpolation of L-values of totally real fields. MATHEMATISCHE ANNALEN, 371 (3-4). pp. 1449-1495. ISSN 0025-5831, 1432-1807

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: SHINTANI COCYCLES;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Guido Kings
Depositing User: Dr. Gernot Deinzer
Date Deposited: 10 Mar 2020 10:53
Last Modified: 10 Mar 2020 10:53
URI: https://pred.uni-regensburg.de/id/eprint/14176

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