The Stacks project

Rehashing the material for algebraic spaces

Just explaining how the material we just added for schemes works in the
setting of algebraic spaces and the \'etale topology... not quite done

LaTeX: \etale

Introduced the macro

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

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

LaTeX: \Sch

	Introduced a new macro

	\def\Sch{\textit{Sch}}

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

Neurotic changes

	Fix (almost all) complaints of parse.py

End conversion of etale to \'etale.

Morphisms of Spaces: Surjective morphisms

	OK, this is a bit silly, but we try to be consistent with only
	using surjective morphisms of algebraic spaces after it has been
	defined.

Properties of spaces; Small changes

	modified:   spaces-properties.tex

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