activity
20072024
most citedRelative log convergent cohomology and relative rigid cohomology I

33 citations · 53 across the 16 of their papers we have counts for

collaborators

19 papers

math.AG2024

Blow-up invariance for Hodge-Witt sheaves with modulus

Atsushi Shiho

In this paper, we prove the blow-up invariance for Hodge-Witt sheaves with modulus, which is a generalization of a result of Koizumi for Witt sheaves and that of Kelly-Miyazaki and…

math.AG2022

Theory of weights for log convergent cohomologies I: the case of a proper smooth scheme with an SNCD in characteristic p>0

Yukiyoshi Nakkajima, Atsushi Shiho

Using log convergent topoi, %In the derived category of filtered complexes of %sheaves of modules over %an isostructure we define two fundamental filtered complexes …

math.NT2021

Integral p-adic cohomology theories for open and singular varieties

Veronika Ertl, Atsushi Shiho, Johannes Sprang

For open and singular varieties in positive characteristic p we study the existence of an integral p-adic cohomology theory which is finitely generated, compatible with log crystal…

math.NT2019

Comparison of relatively unipotent log de Rham fundamental groups

Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho

In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log s…

math.NT2018★ 2 cited

On infiniteness of integral overconvergent de Rham-Witt cohomology modulo torsion

Veronika Ertl, Atsushi Shiho

In this article, we give examples of smooth varieties of positive characteristic whose first integral overconvergent de Rham-Witt cohomology modulo torsion is not finitely generate…

math.NT2018★ 1 cited

On comparison between relative log de Rham-Witt cohomology and relative log crystalline cohomology

Kazuki Hirayama, Atsushi Shiho

In this article, we prove the comparison theorem between the relative log de Rham-Witt cohomology and the relative log crystalline cohomology for a log smooth saturated morphism of…