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For a finite morphism f : X → Y of smooth varieties such that f maps X birationally onto X′=f(X), the local equations of f are obtained at the double points which are not triple. If C is the conductor of X over X′, and $$D = Sing(X') \subset X',\Delta \subset X$$ are the subschemes defined by C, then D and Δ are shown to be complete intersections at these points, provided that C has “the expected”...
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