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Semi-stability and base change. (English) Zbl 1071.14504
Summary: Let \(X\) and \(Y\) be regular strictly semi-stable varieties over a discrete valuation ring \(R\) and let \(R \subseteq {\widetilde {R}} \) be a finite ramified extension of discrete valuation rings. We explicitly give desingularization procedures for the base change \( X \times _R {\widetilde {R}} \) and for the product \( X \times _R Y \).

MSC:
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
14B07 Deformations of singularities
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