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Mar 30, 2015 at 1:40 comment added user74230 Using pullback to an algebraic space over $Y$, your question is whether a DM stack $X$ (or more generally Artin stack) separated and finite type over an algebraic space $Y$ is itself an algebraic space when its geometric points have trivial Aut-schemes. This is true without char-0 hypotheses (so no need for Cartier!). See Theorem 2.2.5 in journals.cambridge.org/action/… (where Artin stacks are assumed to have diagonal separated and finite type); is this in the Stacks Project (maybe with weaker diagonal hypotheses)?
Mar 29, 2015 at 14:04 answer added Niels timeline score: 4
Mar 29, 2015 at 12:17 review First posts
Mar 29, 2015 at 12:19
Mar 29, 2015 at 12:14 history asked user234 CC BY-SA 3.0