Loading [MathJax]/extensions/tex2jax.js

The Stacks project

History of tag 07WN

Go back to the tag's page.

type time link
changed the proof 2022-01-21 c9ae6e3
Typo

Thanks to Cedric Luger
https://stacks.math.columbia.edu/tag/07WN#comment-6883
changed the statement 2019-01-21 a09d0f7
Slogans by slogan_bot
changed the proof 2014-07-15 98144d0
Added new chapter entitled "Pushouts of Algebraic Spaces"
assigned tag 07WN 2012-07-03 3fe4cf9
Tags: Added new tags
created statement with label lemma-pushout in artin.tex 2012-06-07 e119db7
Pushouts and algebraic stacks

	Finally! After a long detour we now have the result we wanted,
	namely a very general version of the Rim-Schlessinger condition
	for algebraic stacks.

	In fact, the most general version involves pushouts of algebraic
	spaces and we haven't added that yet. It can be proved in
	exactly the same manner as the current version. However, it
	should be put in a later chapter (because the proof is
	unreadable unless we use the abuse of language introduced in
	properties of algebraic stacks).

	Now we can continue the development of the chapter on Artin's
	axioms. Yeah!