Talk:Artin's criterion

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	This article was accepted from this draft on 1 March 2017 by reviewer GeoffreyT2000 (talk · contribs).

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Notes[edit]

Artin's first paper is available in Global Analysis: Papers in Honor of K. Kodaira (PMS-29), pages 21-72 — Preceding unsigned comment added by Wundzer (talk • contribs) 14:39, 17 June 2020 (UTC)[reply]
Artin approximation pdf - https://www.ams.org/journals/bull/2017-54-04/S0273-0979-2017-01579-0/supplementary-information/S0273-0979-2017-01579-0-original-version.pdf
Associated lectures online - https://library.cirm-math.fr/Record.htm?idlist=7&record=19277720124910959029 - Commutative algebra for Artin approximation - Part 1
Commutative algebra for Artin approximation - Part 2 - https://library.cirm-math.fr/Record.htm?idlist=7&record=19277747124910959299
Commutative algebra for Artin approximation - Part 3 - https://library.cirm-math.fr/Record.htm?idlist=7&record=19277759124910959319 — Preceding unsigned comment added by Wundzer (talk • contribs) 19:49, 18 June 2020 (UTC)[reply]

Artin's criterion should include all of his criteria, not just for algebraic spaces. This means representability of moduli functors as stacks, etc.

Versal deformations and algebraic stacks - Representability of algebraic stacks - https://link.springer.com/article/10.1007/BF01390174
Algebraic approximation of structures over complete local rings
Algebraization of formal moduli. I
Theoremes de representabilite pour les espaces algebriques