Perfectoid towers generated from prisms
Abstract
Abstract We present a unified construction of perfectoid towers from specific prisms which covers all the previous constructions of ( p -torsion-free) perfectoid towers. By virtue of the construction, perfectoid towers can be systematically constructed for a large class of rings with Frobenius lift. Especially, any Frobenius lifting of a reduced $\mathbb {F}_p$ -algebra has a perfectoid tower.
Fields of Study & Subjects
Semiconductor Lasers and Optical Devices
Laser Material Processing Techniques
Advanced Fiber Optic Sensors
Publication details
- Journal / source
- Nagoya Mathematical Journal
- Publisher
- Cambridge University Press (CUP)
- Volume
- 261
- Publication date
- 1 January 2026
- Language
- EN