Loading [MathJax]/extensions/tex2jax.js

The Stacks project

History of tag 06Q0

Go back to the tag's page.

type time link
assigned tag 06Q0 2011-06-15 2aa1b6c
Tags: Added new tags
changed the proof 2011-06-14 0024f9f
Permance of flat morphisms

	Case of algebraic stacks... This is not the whole story but it
	is what we need now for the discussion of gerbes. I'm sure we'll
	have to pay later for our rash decision to add these simple
	cases here explicitly now:)
created statement with label lemma-flat-permanence in stacks-morphisms.tex 2011-06-14 e855389
Flatness of gerbes

	The statement is that if X ---> Y is a morphism of algebraic
	stacks such that X is a gerbe over Y, then X ---> Y is
	surjective, flat, and locally of finite presentation.

	There are a couple of not-completely-trivial lemmas that I added
	in this commit whose proof I will add in the next couple of
	commits.