The Stacks project

LaTeX

Introduced a macro

\def\QCoh{{\textit{QCoh}}}

and replaced almost all occurences of \textit{QCoh} by \QCoh. There are
still some places where we use \textit{QCoh}, namely in the chapter
on examples of stacks. This is because the meaning there is different;
it indicates a category fibred in groupoids over Sch and not the notational
gadget that takes a ringed topos and spits out its category of
quasi-coherent modules.

Unify notation \textit{QCoh}

LaTeX: \etale

Introduced the macro

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

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

Fix notation

	Try to make notation concerning quasi-coherent and adequate
	modules more consistent.

Whitespace changes

Neurotic changes

	Fix (almost all) complaints of parse.py

End conversion of etale to \'etale.

Properties of Spaces: Quasi-coherent sheaves in terms of a presentation

	In addition we introduced the abstract notion of a
	quasi-coherent sheaf on a groupoid, as well as a G-equivariant
	sheaf on a scheme endowed with an action of a group scheme.

Tags: new tags added

	modified:   tags/tags

Properties of spaces: Etale sites and modules on algebraic spaces

	We finally caved in and defined both versions of the etale site
	of an algebraic space. What maybe makes this palatable is the
	little lemma on f-maps showing how to think about the
	relationship between sheaves upstairs and downstairs. Of course
	this lemma holds in some much greater generality, but for now we
	can leave it in this chapter as is.

	Also added some preparatory work on the structure sheaf on an
	algebraic space and quasi-coherent modules. Next up: pushforward
	of quasi-coherent sheaves are sometimes quasi-coherent, right?

	modified:   spaces-properties.tex