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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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