Perfectoid towers generated from prisms

2024/09/24 by Ishizuka, Ryo · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2409.15785

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 \mathbbF_p-algebra has a perfectoid tower.

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