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math.AG2026
On a relation of a conjecture of Goncharov to the co-Lie algebra of Bloch-Kriz mixed Tate motives
Kenichiro Kimura
Goncharov defined for each field and an integer greater than 1 a certain group . We consider the possibility of defining a linear map from to the co-Lie al…
math.AG2025
Integrals of logarithmic forms on semi-algebraic sets and a generalized Cauchy formula Part II: generalized Cauchy formula
Masaki Hanamura, Kenichiro Kimura, Tomohide Terasoma
This paper is the continuation of the paper arXiv:1509.06950, which is Part I under the same title. In this paper, we prove a generalized Cauchy formula for the integrals of logari…