Algebraization of absolute perfectoidization via section rings
Algebraic Geometry
2026-05-12 v2 Commutative Algebra
Number Theory
Abstract
We construct and study a graded version of absolute perfectoidization for -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.
Cite
@article{arxiv.2604.02682,
title = {Algebraization of absolute perfectoidization via section rings},
author = {Ryo Ishizuka and Shou Yoshikawa},
journal= {arXiv preprint arXiv:2604.02682},
year = {2026}
}
Comments
73 pages; minor change