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Results tagged with flatness
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user 69037
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Idea behind Grothendieck's proof that formally smooth implies flat?
From this answer I learned that Grothendieck proved the following result.
Theorem. Every formally smooth morphism between locally noetherian schemes is flat.
The book Smoothness, Regularity, and Com …
- 23.3k
11
votes
1
answer
578
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Homotopical interpretation of flatness?
I have read a discussion (in a less common language) which discussed a homotopical interpretation of flatness, which went something like:
A map of commutative algebras is flat if pushing it out along … Hence flatness is just another name for quasi-fibrations.
Another bloke remarked:
Flatness is about giving the correct pullback, but it may also be obtained without flatness. …
- 5,760