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Timeline for Why are flat morphisms "flat?"

Current License: CC BY-SA 2.5

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Nov 10, 2023 at 6:20 answer added Connor Bass timeline score: 6
Jun 24, 2020 at 1:24 answer added Dr. Evil timeline score: 2
Nov 18, 2014 at 8:29 answer added Martin Brandenburg timeline score: 21
Oct 4, 2010 at 5:49 answer added Sándor Kovács timeline score: 5
May 23, 2010 at 6:11 comment added BCnrd @Mariano: A couple of weeks ago I asked Serre about this. He didn't remember why the word flat was used, or if the word was due to him or possibly Cartan/Eilenberg. One point he emphasized is that it was Grothendieck who deserves all credit for the discovery of the importance of flatness in geometry (fibral criteria, families, etc.). For Serre it was a matter of isolating the "right" algebraic notion with which to discuss the various changes of rings (analytic vs. algebraic local rings, completions thereof, general localization) which came up in GAGA and FAC.
Nov 27, 2009 at 6:52 vote accept Harrison Brown
Nov 26, 2009 at 15:31 answer added Sasha timeline score: 5
Nov 25, 2009 at 21:03 answer added Andrew Critch timeline score: 204
Nov 25, 2009 at 14:53 answer added Marc Nieper-Wißkirchen timeline score: 14
Nov 25, 2009 at 14:02 answer added Daniel Erman timeline score: 53
Nov 25, 2009 at 13:39 answer added user717 timeline score: 38
Nov 25, 2009 at 13:15 answer added Joel Fine timeline score: 2
Nov 25, 2009 at 12:45 comment added Mariano Suárez-Álvarez The term was introduced by Jean-Pierre Serre. You could ask him or, better, suggest he signs up at MO :P
Nov 25, 2009 at 12:33 answer added Timo Schürg timeline score: 12
Nov 25, 2009 at 12:10 comment added Harrison Brown Flat morphisms of schemes would be good, although I think most of the different things called "flat" in algebraic geometry are pretty closely related, so really anything would work.
Nov 25, 2009 at 11:53 comment added user709 What is the flat ness you are having in mind? Flat morphisms of schemes?
Nov 25, 2009 at 11:41 history asked Harrison Brown CC BY-SA 2.5