6 citations · 15 across the 7 of their papers we have counts for
7 papers
Borel-Moore homology and cap product operations
Masaki Hanamura
We show that, for a simplicial complex, the supported cap product operation on Borel-Moore homology coincides with the supported cap product on simplicial homology. For this purpos…
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…
Quasi DG categories and mixed motivic sheaves
Masaki Hanamura
We introduce the notion of a quasi DG category, generalizing that of a DG category. To a quasi DG category satisfying certain additional conditions, we associate another quasi DG c…
Cycle theory of relative correspondences
Masaki Hanamura
We establish a theory of complexes of relative correspondences. The theory generalizes the known theory of complexes of correspondences of smooth projective varieties. It will be a…
Weight filtration on the cohomology of algebraic varieties
Masaki Hanamura, Morihiko Saito
We show that the etale cohomology (with compact supports) of an algebraic variety over an algebraically closed field has the canonical weight filtration , and prove that the…