Mathematics > Commutative Algebra
arXiv:2605.27283 (math)
[Submitted on 26 May 2026]
Abstract:We prove that every perfectoid tower can be decomposed into a fiber product of perfectoid towers that are either $p$-torsion free or perfect of characteristic $p$. As an application, we show that separated perfectoid towers are reduced. We also establish the tilting invariance of étale cohomology and Koszul homology for perfectoid towers.
Submission history
From: Kazuki Hayashi [view email]
[v1]
Tue, 26 May 2026 17:00:57 UTC (35 KB)
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