The Stacks project

LaTeX: \etale

Introduced the macro

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

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

Whitespace changes

The open stratum which is a gerbe

	A reduced algebraic stack whose inertia is quasi-compact has a
	dense open stratum which is a gerbe. Completely straightforward
	from everything we have so far.

Neurotic changes

	Fix (almost all) complaints of parse.py

End conversion of etale to \'etale.

More Groupoids: small changes

	Also divided up the material on quotient stacks to get better
	readability.

More groupoids: Small change

Groupoids: Put advanced material on groupoids in separated chapter

	We will rewrite the technical lemmas, the slicing lemma, and
	etale localization lemmas in order to fix errors and for
	clarity.

Groupoids: Put advanced material on groupoids in separated chapter

	We will rewrite the technical lemmas, the slicing lemma, and
	etale localization lemmas in order to fix errors and for
	clarity.

Tags: New tags added

Groupoids: Locus where s, t have a property is invariant

	Given a groupoid (U, R, s, t, c) the open subset of U over which
	s, t have a given property P of morphisms of schemes is
	R-invariant provided this property is tau-local on the base and
	s, t define tau-coverings.

	There is a potential for misuse here, and in some other places
	where the statement of a lemma depends on knowing what a
	covering is. Namely, some authors have a different definition of
	what constitutes a covering. For example in some places in the
	literature the ring map

		k[x] ---> k[x] \times k[x]/(x)

	may be said to define an fppf covering, whereas we do not allow
	this...