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The Stacks project

History of tag 0300

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type time link
changed the proof 2011-08-13 4ea0b65
Whitespace changes
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.
changed the proof 2010-06-17 b866a0f
More cleaning up of Algebraic Stacks

	More or less OK proof of the easy direction for going between
	algebraic stacks and presentations. It would be good to add more
	material allowing us to work more easily with fibred
	categories...
changed the proof 2010-06-17 5f35ebc
Started cleaning up chapter on algebraic stacks
changed the proof 2010-06-11 55fcf8b
Splitting out different notions of representability

	Hopefully this will improve the exposition (everntually).
changed the proof 2010-01-25 79c5606
Bootstrap: Added new chapter

	It seems better to discuss the bootstrap theorems in a separate
	chapter following the discussion of the basic material on
	algebraic spaces. This can then be used in the chapter on
	algebraic stacks when discussing presentations and what not.

	The goal is to prove the theorem that an fppf sheaf F for which
	there exists a scheme X and a morphism f : X --> F such that
		f is representable by algebraic spaces
		f is flat, surjective and locally of finite presentation
	is automatically an algebraic space. We have almost all the
	ingredients ready except for a slicing lemma -- namely somehow
	lemma 3.3 part (1) of Keel-Mori.
assigned tag 0300 2009-08-11 557a44e
Added new tags to the project

	modified:   tags/tags
created statement with label lemma-base-change-by-space-representable-by-space in algebraic.tex 2009-07-27 0328bc3
Introducing different types of representable 1-morphisms of categories
fibred in groupoids

	modified:   algebraic.tex
	modified:   categories.tex
	modified:   spaces.tex