A short note on Du Bois singularities
Algebraic Geometry
2025-12-19 v5 Commutative Algebra
Abstract
We study the behavior of Du~Bois singularities under base change and fiber products. For embeddable varieties in characteristic zero, we show that Du~Bois singularities descend from any field extension. We also prove that the product of a variety with rational singularities and a variety with Du~Bois singularities again has Du~Bois singularities, and we discuss the case of products of curves.
Keywords
Cite
@article{arxiv.2504.19907,
title = {A short note on Du Bois singularities},
author = {Pat Lank},
journal= {arXiv preprint arXiv:2504.19907},
year = {2025}
}
Comments
Parts were moved to arXiv: 2510.26648; this is mainly expository for a certain observation