6 citations · 13 across the 13 of their papers we have counts for
13 papers
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…
An application of a Hodge realization of Bloch-Kriz mixed Tate motives
Kenichiro Kimura
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…
Semi-algebraic chains on projective varieties and the Abel-Jacobi map for higher Chow cycles
Kenichiro Kimura
We will show that the singular cohomology groups of a smooth quasi-projective complex variety relative to a normal crossing divisor can be described in terms of delta-admissible ch…
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…
Integrals of logarithmic forms on semi-algebraic sets and a generalized Cauchy formula, Part I: convergence theorems
Masaki Hanamura, Kenichiro Kimura, Tomohide Terasoma
In this paper consisting of two parts, we study the integral of a logarithmic differential form on a compact semi-algebraic set in R^n or C^n. In Part I, we prove the convergence o…
Relative DGA and mixed elliptic motives
Kenichiro Kimura, Tomohide Terasoma
Bloch and Kriz construct an abelian category of mixed Tate motives as the category of comodules over a Hopf algebra obtained by the bar construction of the DGA of cycle complexes.…