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The Stacks project

History of tag 06D3

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type time link
changed the statement 2012-06-11 eb81cb2
stacks ---> cats fibred groupoids

	A small improvement...
changed the statement and the proof 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 06D3 2011-05-17 929f4fe
Tags: Added new tags

	Also fixed a reference.
created statement with label lemma-representable-by-spaces-formally-smooth in criteria.tex 2011-05-17 dd9236b
Bootstrapping stacks

	We finally proved the analogue for algebraic stacks of the final
	bootstrap theorem for algebraic spaces proved in commit d70ec1d.
	The theorem states that if X ---> Y is a morphism from an
	algebraic space to a stack in groupoids, and if this morphism is
	representable by algebraic spaces, surjective, flat, and locally
	of finite presentation, then Y is an algebraic stack.

	An application (to be added still) is that if G/S is a flat and
	locally finitely presented group scheme, then [X/G] is an
	algebraic stack over S. Etc, etc, etc.