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Integrals of logarithmic forms on semi-algebraic sets and a generalized Cauchy formula Part II: generalized Cauchy formula

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arxiv 1604.03216 v8 pith:EZBSNFS4 submitted 2016-04-12 math.AG math.CVmath.KTmath.NT

Masaki Hanamura , Kenichiro Kimura , Tomohide Terasoma This is my paper · ORCID
classification math.AGmath.CVmath.KTmath.NT
keywords cauchyformulageneralizedformsintegralslogarithmicpartapplication
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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 logarithmic forms on products of projective lines, and give an application to the construction of Hodge realization of mixed Tate motives.

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

    math.NT 2024-12 conditional novelty 6.0 of 10

    The Bloch-Kriz category of mixed Tate motives over a number field, with the author's Hodge realization, satisfies Beilinson-Deligne's conditions (A) through (E), yielding a weak form of Zagier's conjecture.

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