Log canonical threshold of du Val singularities

2023/12/18 by Yoshinori Watanabe, Watanabe, Yoshinori
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2312.16187

openalex publication_date 2023/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we show the log canonical threshold values of the surfaces which has du Val type singularities.These surfaces can be interpreted as statistical or machine learning models. The results of A_n, D_n, E₆, E₇ and E₈ are shown. Bacause the calculation is done on complex fileld, this result would be different from the real fileld, which is in singular learning theory.

Related

• Log canonical thresholds of del Pezzo surfaces
• Classification of real hyperplane singularities by real log canonical thresholds
• Log canonical thresholds of quasi-ordinary hypersurface singularities
• Log-canonical threshold for curves on a smooth surface
• Reading the log canonical threshold of a plane curve singularity from its Newton polyhedron