Desingularization of double covers of regular surfaces

2025/04/23 by Liu, Qing · 1 citation
#11G20 #14B05 #14J17 #14J20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2504.16808

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 → 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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