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The Stacks project

History of tag 07YI

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changed the statement 2017-04-11 04fef69
New macro: \Ext
changed the statement 2013-08-03 16be7e5
ll check: words starting with u, v, w, x, y, z, U, V, W, X, Y, or Z
changed the statement 2013-03-27 ba00249
New macro: \NL for naive cotangent complex

The naive cotangent complex is an important ingredient to several
topics discussed in the Stacks project. It deserves its own macro.
assigned tag 07YI 2012-07-03 3fe4cf9
Tags: Added new tags
changed the statement 2012-07-03 65e41c9
Sharpen criterion openness versality

	Just having a single map with two properties is enough...
changed the statement 2012-06-28 d82e033
Some material about obstruction theories

	This includes the notion of a naive obstruction theory and a
	proof that such a thing is good enough to give openness of
	versality. This was introduced on the blog

	http://math.columbia.edu/~dejong/wordpress/?p=2472

	It is just working out what you would get if you actually had an
	algebraic stack. It seems likely that Artin was motivated in
	formulating his axioms by the idea that such a thing should
	exist.

	Hopefully we can use this to prove openness of versality for
	some nice cases such as families of proper flat algebraic
	spaces... We'll see.
created statement with label example-key in artin.tex 2012-06-25 8e77799
Infinitesimal defos + auts + obs

	Just an introduction.