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assigned tag 07XN 2012-07-03 3fe4cf9
Tags: Added new tags
changed the proof 2012-06-22 b40a0c4
First version of Artin's theorems

	This monster commit contains the first version of Artin's
	theorems on representability of stacks and spaces. It is still a
	bit rough.
created statement with label lemma-limit-preserving-algebraic-space in artin.tex 2012-06-18 d9b1272
Getting smooth morphisms towards X

	Openness of versality gives this to us. But you have to worry a
	bit about (purely inseparable) residue field extensions, i.e.,
	you have to show that the versality condition is preserved under
	a bunch of reasonable operations.

	Somehow Artin never seems to run into this problem. I think
	because he consistently works with covers having a fixed residue
	field. So yes, it is possible to avoid this...