Desingularization of double covers of regular surfaces

Qing Liu

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arXiv · 2504.16808

Desingularization of double covers of regular surfaces

Qing Liu

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Abstract

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 $Y$.

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Qing Liu. 2025-04-23. Desingularization of double covers of regular surfaces. https://arxiv.org/abs/2504.16808

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