Du Bois property of log centers
J\'anos Koll\'ar, S\'andor J Kov\'acs
TL;DR
This paper extends previous results to show that certain subsets close to unions of log canonical centers possess the Du Bois property, broadening understanding of their geometric and singularity characteristics.
Contribution
It generalizes earlier theorems by demonstrating that subsets near unions of log canonical centers are Du Bois, expanding the class of known Du Bois spaces.
Findings
Subsets close to unions of log canonical centers are Du Bois.
Generalization of previous results [KK10] and [KK20].
Broader criteria for Du Bois property in algebraic geometry.
Abstract
In this note we generalize the results of [KK10] and [KK20] by showing that if a closed subset V of X is "close enough" to being a union of log canonical centers, then it is Du Bois.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Differential Equations and Dynamical Systems · Rings, Modules, and Algebras