Perfectoid towers generated from prisms

Published 24 Sep 2024 in math.AC and math.NT | (2409.15785v2)

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.

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Ryo Ishizuka

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