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arXiv · 2409.15785

Perfectoid towers generated from prisms

Ryo Ishizuka
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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. 2024-09-24. Perfectoid towers generated from prisms. https://doi.org/10.1017/nmj.2026.10101

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