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The Stacks project

Definition 76.48.1. Let S be a scheme. Let f : X \to Y be a morphism of algebraic spaces over S.

  1. We say f is a Koszul morphism, or that f is a local complete intersection morphism if the equivalent conditions of Morphisms of Spaces, Lemma 67.22.1 hold with \mathcal{P}(f) =f is a local complete intersection morphism”.

  2. Let x \in |X|. We say f is Koszul at x if there exists an open neighbourhood X' \subset X of x such that f|_{X'} : X' \to Y is a local complete intersection morphism.


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