12 citations · 38 across the 11 of their papers we have counts for
11 papers
The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields
Kenichi Bannai, Hohto Bekki, Kei Hagihara +3
In this article, we construct the Hodge realization of the polylogarithm class in the equivariant Deligne-Beilinson cohomology of a certain algebraic torus associated to a totally…
Poincaré duality for rigid analytic Hyodo--Kato theory
Veronika Ertl, Kazuki Yamada
The purpose of this paper is to establish Hyodo--Kato theory with compact support for semistable schemes through rigid analytic methods. To this end we introduce several types of l…
Hyodo-Kato theory with syntomic coefficients
Kazuki Yamada
The purpose of this article is to establish theories concerning -adic analogues of Hodge cohomology and Deligne-Beilinson cohomology with coefficients in variations of mixed Hod…
-adic Polylogarithms and -adic Hecke -functions for Totally Real Fields
Kenichi Bannai, Kei Hagihara, Kazuki Yamada +1
The purpose of this article is to newly define the -adic polylogarithm as an equivariant class in the cohomology of a certain infinite disjoint union of algebraic tori associate…
The Hodge realization of the polylogarithm on the product of multiplicative groups
Kenichi Bannai, Kei Hagihara, Kazuki Yamada +1
The purpose of this article is to describe explicitly the polylogarithm class in absolute Hodge cohomology of a product of multiplicative groups, in terms of the Bloch-Wigner-Ramak…
Canonical Equivariant Cohomology Classes Generating Zeta Values of Totally Real Fields
Kenichi Bannai, Kei Hagihara, Kazuki Yamada +1
It is known that the special values at nonpositive integers of a Dirichlet -function may be expressed using the generalized Bernoulli numbers, which are defined by a canonical g…
Rigid analytic reconstruction of Hyodo--Kato theory
Veronika Ertl, Kazuki Yamada
We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, based on logarithmic rigid cohomology. We show that it is independent of the choice…
Renormalization of Unitarized Weinberg-Tomozawa Interaction without On-shell Factorization and - Coupled Channels
Osamu Morimatsu, Kazuki Yamada
We calculate the scattering -matrix of coupled channels taking a ladder sum of the Weinberg-Tomozawa interaction without on-shell factorization, regularizing…
Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary
Veronika Ertl, Kazuki Yamada
We introduce rigid syntomic cohomology for strictly semistable log schemes over a complete discrete valuation ring of mixed characteristic (0,p). In case a good compactification ex…
Category of mixed plectic Hodge structures
Kenichi Bannai, Kei Hagihara, Shinichi Kobayashi +3
The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekovář and Scholl. We give an equivalent description of m…
Log Rigid Syntomic Cohomology for Strictly Semistable Schemes
Kazuki Yamada
We construct log rigid syntomic cohomology for strictly semistable schemes over the ring of integers of a p-adic field, and prove that it is interpreted as the extension group of t…