Generically finite morphisms and formal neighborhoods of arcs
classification
🧮 math.AG
math.AC
keywords
arcsformalgivenmorphismneighborhoodsvarietiesalongclosed
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We show that given a dominant morphism between two smooth varieties of the same dimension, the induced morphism between the formal neighborhoods of two arcs on these varieties is a closed embedding, of codimension given by the order of vanishing along the ramification subscheme.
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