3 papers
math.AG2025
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…
math.NT2025
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…
math.AG2024
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…