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Dec 11, 2019 at 20:56 review Suggested edits
Dec 11, 2019 at 21:38
Oct 21, 2009 at 4:11 comment added Anton Geraschenko Even if the group is finite, there may not be a quotient in the category of schemes. The procedure you describe produces a quotient of an affine scheme by a finite group, but strange things can happen if you act on non-affine schemes, like the example of Hironaka I mentioned in my answer.
Oct 21, 2009 at 3:32 history answered Greg Muller CC BY-SA 2.5