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arXiv · 2604.02682

Algebraization of absolute perfectoidization via section rings

Ryo Ishizuka·Shou Yoshikawa
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Abstract

We construct and study a graded version of absolute perfectoidization for $G$-graded adic rings. As a main geometric application, we show that the absolute perfectoidization of the structure sheaf of a projective-type formal scheme admits an algebraization.

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Ryo Ishizuka, Shou Yoshikawa. 2026-04-03. Algebraization of absolute perfectoidization via section rings. https://arxiv.org/abs/2604.02682

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