10 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…