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  Multiple Dedekind zeta values are periods of mixed Tate motives

Horozov, I. (2020). Multiple Dedekind zeta values are periods of mixed Tate motives. In R. Donagi, & T. Shaska (Eds.), Integrable systems and algebraic geometry: a celebration of Emma Previato's 65th birthday. Volume 2 (pp. 485-498). Cambridge: Cambridge University Press.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-BB61-A Version Permalink: https://hdl.handle.net/21.11116/0000-0006-BB62-9
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 Creators:
Horozov, Ivan1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Number Theory
 Abstract: Recently, the author defined multiple Dedekind zeta values [5] associated to
a number K field and a cone C. These objects are number theoretic analogues of
multiple zeta values. In this paper we prove that every multiple Dedekind zeta
value over any number field K is a period of a mixed Tate motive. Moreover, if
K is a totally real number field, then we can choose a cone C so that every
multiple Dedekind zeta associated to the pair (K;C) is unramified over the ring
of algebraic integers in K. In [7], the author proves similar statements in the
special case of a real quadratic fields for a particular type of a multiple
Dedekind zeta values. The mixed motives are defined over K in terms of a the
Deligne-Mumford compactification of the moduli space of curves of genus zero
with n marked points.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 14
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1612.03693
URI: http://arxiv.org/abs/1612.03693
DOI: 10.1017/9781108773355
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Source 1

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Title: Integrable systems and algebraic geometry : a celebration of Emma Previato's 65th birthday. Volume 2
Source Genre: Festschrift
 Creator(s):
Donagi, Ron, Editor
Shaska, Tony, Editor
Affiliations:
-
Publ. Info: Cambridge : Cambridge University Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 485 - 498 Identifier: ISBN: 978-1-108-71577-5

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Title: London Mathematical Society lecture note series
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Pages: - Volume / Issue: 459 Sequence Number: - Start / End Page: - Identifier: -