Quasi-log canonical pairs are Du Bois

TL;DR

This paper proves that all quasi-log canonical pairs possess Du Bois singularities, using methods independent of the minimal model program, thus advancing understanding of singularity properties in algebraic geometry.

Contribution

It establishes that quasi-log canonical pairs inherently have Du Bois singularities without relying on the minimal model program, providing a new perspective on their geometric properties.

Findings

All quasi-log canonical pairs have Du Bois singularities.

The proof does not depend on the minimal model program.

This result links two important classes of singularities in algebraic geometry.

Abstract

We prove that every quasi-log canonical pair has only Du Bois singularities. Note that our arguments are free from the minimal model program.