Lemma 76.44.6. Let S be a scheme. Let i : Z \to X be an immersion of algebraic spaces over S. Then i is a quasi-regular immersion if and only if the following conditions are satisfied
i is locally of finite presentation,
the conormal sheaf \mathcal{C}_{Z/X} is finite locally free, and
the map (76.6.1.2) is an isomorphism.
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