Inversion of adjunction for quotient singularities II: Non-linear actions

We prove the precise inversion of the adjunction formula for quotient singularities.As an application, we prove the semi-continuity of minimal log discrepancies for hyperquotient singularities.This paper is a continuation of our work [Algebr.Geom.9 (2022), no. 2, 214-251]; we generalize the previous results to non-linear group actions.

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Publication Details

Journal
Algebraic geometry
Published
2025-06-18
DOI
https://doi.org/10.14231/ag-2025-013
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Inversion of adjunction for quotient singularities II: Non-linear actions

Yusuke Nakamura, Kohsuke Shibata
Algebraic geometry
Advanced Differential Equations and Dynamical Systems
article

Inversion of adjunction for quotient singularities II: Non-linear actions

Yusuke Nakamura, Kohsuke Shibata
article en

Abstract

We prove the precise inversion of the adjunction formula for quotient singularities.As an application, we prove the semi-continuity of minimal log discrepancies for hyperquotient singularities.This paper is a continuation of our work [Algebr.Geom.9 (2022), no. 2, 214-251]; we generalize the previous results to non-linear group actions.

Algebraic geometry
Japan Society for the Promotion of Science
Reduced inequalities
Openalex Percentile: Top 81%
Advanced Differential Equations and Dynamical Systems
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Inversion of adjunction for quotient singularities II: Non-linear actions — Yusuke Nakamura, Kohsuke Shibata · Algebraic geometry (2025) | TGRS Research Map | TGRS