2019/03/17 by Jingjun Han, Jihao Liu, Han, Jingjun +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Primary 14E30 #Secondary 14B05
paper · pdf · doi:10.48550/arxiv.1903.07202
openalex publication_date 2019/03/17 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
In this paper we study (ε,δ)-lc singularites, i.e. ε-lc singularities admitting a δ-plt blow-up. We prove that n-dimensional (ε,δ)-lc singularities are bounded up to a deformation, and 2-dimensional (ε,δ)-lc singularities form a bounded family. Furthermore, we give an example which shows that (ε,δ)-lc singularities are not bounded in higher dimensions, even in the analytic sense.