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Syntomic equals flat plus lci (for algebraic spaces).

Lemma 76.48.6. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$. The following are equivalent

  1. $f$ is flat and a local complete intersection morphism, and

  2. $f$ is syntomic.

Proof. Omitted. Hint: Use the schemes version of this lemma, see More on Morphisms, Lemma 37.62.8. $\square$

Comments (1)

Comment #858 by Bhargav Bhatt on

Suggested slogan: Syntomic equals flat plus lci (for algebraic spaces).

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