The canonical embedding of an unramified morphism in an \'etale morphism
classification
🧮 math.AG
keywords
morphismcanonicalembeddingetaleunramifiedclosedeveryfactorization
read the original abstract
We show that every unramified morphism X->Y has a canonical and universal factorization X->E->Y where the first morphism is a closed embedding and the second is etale (but not separated).
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