12 citations · 38 across the 11 of their papers we have counts for
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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…
-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…
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…
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…