Minimal log discrepancies of regularity one

2021/08/08 by Joaquí­n Moraga, Moraga, Joaquín
Mathematics · #Algebraic Geometry (math.AG) #Analytic Number Theory Research #FOS: Mathematics #Mathematical Approximation and Integration #Primary: 14E30 #Secondary: 14M25

paper · pdf · doi:10.48550/arxiv.2108.03677

openalex publication_date 2021/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we use the cone of nef curves to study minimal log discrepancies. The first result is an improvement of the nef cone theorem in the case of log Calabi-Yau dlt pairs. Then, we prove that the ascending chain condition for n-dimensional minimal log discrepancies of regularity one holds around zero. Furthermore, we show that there exists an upper bound for the minimal log discrepancy of any n-dimensional klt singularity of regularity one.

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