Integrals of logarithmic forms on semi-algebraic sets and a generalized Cauchy formula Part II: generalized Cauchy formula
arXiv:1604.03216
Abstract
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.
2017 Apr. 7 : The coefficients of the complexes are restricted to Q. The exposition is improved. 2020 May 20: "(detailed version)'' is deleted from the title. Subsection 5.6 is added. Introduction is slightly changed. 2025. Mar. 12: subsection 3.4 is added