Work

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

Year: 2026

Type: article

Abstract: We prove the normality of minimal log canonical centers on threefold pairs whose 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 characteristics are large enough. In contrast, 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.

Source: Annales de l’institut Fourier

DOI: 10.5802/aif.3780

Authors: Emelie Arvidsson, Quentin Posva

Institutions: University of Utah, Heinrich Heine University Düsseldorf

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: University of Utah, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Award: Generic vanishing theory in positive and mixed characteristic