Degeneration of polylogarithms and special values of L-functions for totally real fields

Kings, Guido (2008) Degeneration of polylogarithms and special values of L-functions for totally real fields. DOCUMENTA MATHEMATICA, 13. pp. 131-159. ISSN 1431-0643,

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Abstract

The degeneration of the polylogarithm on the universal abelian scheme over a Hilbert modular variety at the boundary is described in terms of (critical) special values of the L-function of the totally real field defining the variety. This gives a relation between the polylogarithm on abelian schemes and special values of L-functions.

Item Type: Article
Uncontrolled Keywords: BAILY-BOREL COMPACTIFICATION; HIGHER DIRECT IMAGES; EISENSTEIN CLASSES; SHIMURA VARIETIES; polylogarithms; Hilbert modular varieties; L-functions of totally real fields
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Guido Kings
Depositing User: Dr. Gernot Deinzer
Date Deposited: 13 Nov 2020 10:08
Last Modified: 13 Nov 2020 10:08
URI: https://pred.uni-regensburg.de/id/eprint/31623

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