3 papers
math.AG2025
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.NT2025
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.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…