3 papers
math.AC2026
An application of Fontaine's monoidal maps to perfectoid towers
Kazuki Hayashi, Shinnosuke Ishiro, Kazuma Shimomoto
To connect arithmetic and ring-theoretic properties of rings of mixed characteristic with those of positive characteristic, we introduce monoidal maps for perfectoid towers. Using…
math.AC2025
δ-rings, perfectoid towers, and lim Cohen-Macaulay sequences
Shinnosuke Ishiro, Kazuma Shimomoto
The aim of this article is to study basic structures and interrelations of -rings, perfectoid towers, and lim Cohen--Macaulay sequences over Noetherian rings in positive or mixe…
math.AC2025
Log-regularity of monoid algebras
Shinnosuke Ishiro
Local log-regular rings are Cohen-Macaulay local domains introduced by Kazuya Kato to expand the theory of toric varieties without a base. In this note, we show that local rings of…