Computation method for perfectoid purity and perfectoid BCM-regularity

2025/02/10 by Yoshikawa, Shou · 4 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.06108

Abstract

In this paper, we introduce the notion of quasi-F-splitting for rings in mixed characteristic. By comparing quasi-F-splitting with perfectoid purity, we obtain a new inversion of adjunction-type result. Furthermore, we study the possible values of the perfectoid pure threshold of div(p) and construct new examples of perfectoid pure rings.

Cited by

• Graded perfectoid rings
• A Criterion for Perfectoid Purity and the Rationality of Thresholds
• Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings
• Centers of perfectoid purity

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