Loading [MathJax]/extensions/tex2jax.js

The Stacks project

History of tag 04IF

Go back to the tag's page.

type time link
changed the statement and the proof 2011-08-12 dd4090b
LaTeX: Remove useless brackets
changed the statement 2011-08-11 f2e3127
LaTeX: \Sh

	Introduced the macro

	\def\Sh{\mathop{\textit{Sh}}\nolimits}

	and replaced all occurences of \textit{Sh} with \Sh.
changed the label to lemma-localize-morphism-ringed-topoi 2010-05-12 e7ae4f0
Relocalizing morphisms of (ringed) topoi

	There is quite a bit of duplication here, but it seems
	convenient to be able to talk about this both when given
	explicit sites defining the topoi and when you are just given an
	abstract morphism of (ringed) topoi.
changed the statement and the proof 2010-05-12 e7ae4f0
Relocalizing morphisms of (ringed) topoi

	There is quite a bit of duplication here, but it seems
	convenient to be able to talk about this both when given
	explicit sites defining the topoi and when you are just given an
	abstract morphism of (ringed) topoi.
changed the statement and the proof 2010-05-07 ed349f6
Properties of Spaces: Recovering morphisms
assigned tag 04IF 2010-04-21 f748a4c
Etale Cohomology: Functoriality etale topoi done

	This commit puts in the last bits for the proof that a morphism
	of locally ringed topoi

		(X_{etale}, O_X) ---> (Y_{etale}, O_Y)

	always comes from a morphism of schemes X ---> Y.

	The current proof by glueing is not really that nice since it
	requires a lot of sophistication from the reader. On the other
	hand it is more or less clear that you can do this as soon as
	you start thinking about it, and in fact it is probably the
	proof that a less sophisticated mathematicien (such as me) would
	come up with in the first place. Hah!
created statement with label lemma-morphism-ringed-topoi-localization in sites-modules.tex 2010-04-20 55b1111
Modules on Sites: Localization of morphisms of locally ringed topoi

	Arrggghhhh! Oh well, it is very nice how it all fits together.