Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options answers only not deleted user 2874
39 votes
Accepted

Flatness in Algebraic Geometry vs. Fibration in Topology

A surjective flat (equals faithfully flat) map with smooth fibres is in fact a smooth morphism, and hence induces a submersion on the underlying manifolds obtained by passing to complex points. Since …
Emerton's user avatar
  • 57.6k
3 votes

Associated graded and flatness

Dear David, See Prop. 1.2 of Algebras of p-adic distributions and admissible representations by Peter Schneider and Jeremy Teitelbaum, for one such result: Proposition 1.2. Suppose that $gr^{\bullet …
Emerton's user avatar
  • 57.6k