Log canonical thresholds of Burniat surfaces with K² = 5

2024/01/09 by Nguyen Bin, Bin, Nguyen, Jheng-Jie Chen +3
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2401.04326

openalex publication_date 2024/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper we compute the global log canonical thresholds of the secondary Burniat surfaces with K² = 5. Furthermore, we establish optimal lower bounds for the log canonical thresholds of members in pluricanonical sublinear systems of the secondary Burniat surfaces with K² = 5.

Related

• Log canonical thresholds of del Pezzo surfaces
• Global log canonical thresholds of minimal (1,2)-surfaces
• Log canonical thresholds of smooth Fano threefolds. With an appendix by Jean-Pierre Demailly
• Variation of log canonical thresholds in linear systems
• ACC for foliated log canonical thresholds