An application of Fontaine's monoidal maps to perfectoid towers

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Kazuki Hayashi, Shinnosuke Ishiro, Kazuma Shimomoto
DOI: 10.48550/arxiv.2602.21605
Cited by: 0

Abstract

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 these maps, we discuss the almost integrality of perfectoid towers and of their tilts. We also show that the towers constructed by F. Andreatta via ramification theory become perfectoid towers, and we apply the monoidal maps to deduce the normality of their small tilts.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Rings Modules and Algebras Commutative Algebra and Its Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
25 February 2026
Language
EN
Document type
Preprint