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Aug 14, 2012 at 12:54 comment added Will Chen @BCnrd Sorry for reviving an old thread, and I'm still somewhat new to the notation, but when you say "if the moduli problem is an Artin stack and a coarse moduli space exists then it is a fine moduli space (meaning that the moduli problem is an algebraic space) if and only if objects over algebraically closed fields have trivial automorphism schemes " Are your moduli "space"s assumed to be schemes, or algebraic spaces?
Feb 25, 2010 at 5:36 history edited BCnrd CC BY-SA 2.5
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Feb 25, 2010 at 5:01 history answered BCnrd CC BY-SA 2.5