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The Stacks project

History of tag 0459

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changed the statement 2021-04-30 336582e
Typo in algebraic + blast from the past

Thanks to David Zureick-Brown and Dario Weißmann
https://stacks.math.columbia.edu/tag/0459#comment-26
https://stacks.math.columbia.edu/tag/0459#comment-5939
changed the statement 2011-08-11 f496b59
LaTeX: \Sch

	Introduced a new macro

	\def\Sch{\textit{Sch}}

	and replaced all the occurences of \textit{Sch} with \Sch.
assigned tag 0459 2010-01-25 cccc58a
Tags: added new tags
changed the proof 2010-01-20 0436365
Algebraic stacks: Deligne-Mumford with trivial inertia is a space

	To prove this for a general algebraic stack we will first prove
	a characterization of a DM stack as an algebraic stack whose
	inertia is formally unramified, or equivalently diagonal is
	formally unramified. Before we do this it makes sense to change
	the notion of unramified as suggested by David Rydh (see
	documentation/todo-list).

	We also added the proof of the statement that the property of
	being an algebraic stack is invariant under equivalences.
created statement with label lemma-property-morphism-equivalent in algebraic.tex 2010-01-19 77e06f2
Algebraic stacks: properties of morphisms representable by spaces

	Finally we have enough material so that our definition of
	algebraic stacks makes sense. Phew!