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arXiv · 2504.19907

A short note on Du Bois singularities

Pat Lank
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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.

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Pat Lank. 2025-04-28. A short note on Du Bois singularities. https://arxiv.org/abs/2504.19907

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