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arXiv · 2605.27279

A characterization of perfectoid towers in terms of conormal cones

Kazuki Hayashi
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Abstract

We characterize perfectoid towers in terms of conormal cones rather than torsion parts. This result is deduced from a refined study of the relationship between torsion with respect to a principal ideal and the associated conormal cone, building on the work of O. Gabber and L. Ramero.

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Kazuki Hayashi. 2026-05-26. A characterization of perfectoid towers in terms of conormal cones. https://arxiv.org/abs/2605.27279

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