A short note on Du Bois singularities
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918253248380928 |
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| author | Lank, Pat |
| author_facet | Lank, Pat |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19907 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A short note on Du Bois singularities Lank, Pat Algebraic Geometry Commutative Algebra 14B05 (primary), 14E15, 14A30 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. |
| title | A short note on Du Bois singularities |
| topic | Algebraic Geometry Commutative Algebra 14B05 (primary), 14E15, 14A30 |
| url | https://arxiv.org/abs/2504.19907 |