An application of a Hodge realization of Bloch-Kriz mixed Tate motives

2024/12/17 by Kimura, Kenichiro
#11R42 (Secondary) #19E15 (Primary) #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2412.12421

Abstract

Beilinson and Deligne proved a weak version of Zagier's conjucture on special values of Dedekind zeta functions assuming the existence of a category of mixed Tate motives which has certain properties. We show that Bloch-Kriz category of mixed Tate motives together with a Hodge realization which we constructed has the required properties.

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