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Timeline for Why is this not an algebraic space?

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Dec 22, 2021 at 3:06 history edited LSpice CC BY-SA 4.0
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Dec 22, 2021 at 2:44 history edited David Roberts CC BY-SA 4.0
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Dec 24, 2009 at 17:52 answer added Anton Geraschenko timeline score: 12
Dec 19, 2009 at 19:33 comment added Chris Schommer-Pries So, in lieu of the answers below, is the following the correct picture? The quotient in the category of sheaves is not a scheme, however it is a (non-quasi separated) algebraic space. Nevertheless the category of schemes under this sheaf has an initial object, the single point. This point then satisfies the universal property in the category of schemes, and so can be thought of as the scheme-theoretic quotient.
Dec 16, 2009 at 3:12 vote accept Chris Schommer-Pries
Dec 15, 2009 at 22:15 answer added JBorger timeline score: 22
Dec 15, 2009 at 21:29 answer added Jonathan Wise timeline score: 22
Dec 15, 2009 at 21:17 history edited Chris Schommer-Pries CC BY-SA 2.5
typo corrected
Dec 15, 2009 at 21:15 comment added Chris Schommer-Pries I just thought of another possibility, which seems likely after reading Anton's post again. Is $\mathbb{G}_M / \mathbb{Z}$ a scheme? if so what scheme? It seems like it would have to be a single point.
Dec 15, 2009 at 21:06 history asked Chris Schommer-Pries CC BY-SA 2.5