The Stacks project

Neurotic changes

Remove math from \item[..]

Fix typos in etale-cohomology.tex

Thanks to Xiaowen Hu
http://stacks.math.columbia.edu/tag/03P2#comment-1473

Final in series nuerotic edits

Invisible changes

Mostly invisible changes

Get rid of some superfluous commands in the text

LaTeX: \etale

Introduced the macro

\def\etale{{\acute{e}tale}}

and replaced all occurences of \acute{e}tale by \etale

move a chapter and rename a chapter

	We moved the chapter "Cohomology of Algebraic Spaces" earlier so
	we can use the results earlier in the treatment of algebraic
	spaces. Also, we finally renamed the chapter "Coherent
	Cohomology" to "Cohomology of Schemes" which is better.

Whitespace changes

LaTeX: \Sch

	Introduced a new macro

	\def\Sch{\textit{Sch}}

	and replaced all the occurences of \textit{Sch} with \Sch.

LaTeX: \Spec

	Introduced the macro

	\def\Spec{\mathop{\rm Spec}}

	and changed all the occurences of \text{Spec} into \Spec.

Fixing references

	This time we're fixing the type of the reference

Neurotic changes

	Fix (almost all) complaints of parse.py

Begin translating etale to \'etale or \acute{e}tale (in Math mode).

Etale Cohomology: More fixes

	Try to be more consistent with notation on cohomology groups
	Compare cohomology on big and small sites
	Invariance under change of partial universe
	Fix proof of theorem cohomology quasi-coherent sheaf
	Restate Hilbert 90
	Add constant group scheme to chapter on groupoids
	Add lemma on change big site to chapter on cohomology on sites
	Fix proof of change big site lemma in chapter on topologies

Etale Cohomology: Restate theorem on cohomology quasi-coherent sheaves

Etale Cohomology: Introducing tau-sites

	There seems to be no way around actually introducing the
	tau-sites in the chapter on etale cohomology. As a result we
	noticed something missing in the chapter on topologies, namely
	the statement that the topologies on the big (absolute)
	tau-sites are induced from the corresponding toplogies on the
	category of all schemes. We added this also.

Etale Cohomology: Remove the fpqc site

	Explanation can be found in the text,

Tags: Added new tags

	Mainly new tags for lemmas/propositions/theorems in the chapter
	on etale cohomology.

Etale Cohomology: White space changes only

Etale COhomology: More edits

	Coding style...

Etale COhomology: More edits

	Coding style...

Etale Cohomology: Added it to the project and more edits

	A solution to the problem mentioned in the previous commit may
	be to add parts of the Chapter as Appendices maybe in a smaller
	font. Still not sure.

Etale Cohomology: Lots of edits

	One of the problems is that the coding style is completely
	different and nonuniform. Another is that there is a lot of
	material for which it will not be possible to find proofs
	internally in the stacks project for a long time. Perhaps we
	need to introduce a way of indicating this in the document.

	A better solution is perhaps to add only those parts to the
	actual stacks book published on the web which mesh well with
	the stacks project.

CONTRIBUTORS: Added Min Lee

	See previous commit