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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.16808 |
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| _version_ | 1866915847618953216 |
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| author | Liu, Qing |
| author_facet | Liu, Qing |
| contents | Let $Z$ be a noetherian integral excellent regular scheme of dimension 2. Let $Y$ be an integral normal scheme endowed with a finite flat morphism $Y \to Z$ of degree 2. We give a description of Lipman's desingularization of $Y$ by explicit equations, leading to a desingularization algorithm for $Y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16808 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Desingularization of double covers of regular surfaces Liu, Qing Number Theory Algebraic Geometry 11G20, 14B05, 14J17, 14J20 Let $Z$ be a noetherian integral excellent regular scheme of dimension 2. Let $Y$ be an integral normal scheme endowed with a finite flat morphism $Y \to Z$ of degree 2. We give a description of Lipman's desingularization of $Y$ by explicit equations, leading to a desingularization algorithm for $Y$. |
| title | Desingularization of double covers of regular surfaces |
| topic | Number Theory Algebraic Geometry 11G20, 14B05, 14J17, 14J20 |
| url | https://arxiv.org/abs/2504.16808 |