Periods of Mixed Tate Motives over Real Quadratic Number Rings

2016/11/30 by Ivan Horozov · 1 citation
Mathematics · #math.AG #msc:11M32 #msc:11R42 #msc:14G10 #msc:14G25

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published as Geometric methods in physics XXXV, 181-190, Trends Math., Birkhaeuser/Springer, Cham, 2018 · The proof of the main theorem is now related to a moduli space of curves. 10 pages

arxiv created 2018/11/20 · arxiv updated 2018/11/21

Abstract

Recently, the author defined multiple Dedekind zeta values \citeMDZF associated to a number K field and a cone C. In this paper we construct explicitly non-trivial examples of mixed Tate motives over the ring of integers in K, for a real quadratic number field K and a particular cone C. The period of such a motive is a multiple Dedekind zeta values at (s₁,s₂)=(1,2), associated to the pair (K;C), times a nonzero element of K.

Cited by

• Multiple Dedekind Zeta Values are Periods of Mixed Tate Motives