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Normality of minimal log canonical centers of threefolds in mixed and positive characteristic

2023/02/14 by Emelie Arvidsson, Quentin Posva, Arvidsson, Emelie +1
Mathematics · #14B05 #14E30 #14G17 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2302.07329

openalex publication_date 2023/02/14 · openalex created_date 2023/02/18 · openalex updated_date 2026/07/28

Abstract

We prove the normality of minimal log canonical centers on threefold pairs which residue fields are perfect of residue characteristics p≠ 2,3 and 5. We also show that the union of all log canonical centers on threefold pairs with standard coefficients are seminormal provided that the residue characteristic is large enough. We provide an example of a non-seminormal log canonical center on a threefold in characteristic 3, and give sufficient conditions to construct similar examples.

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