The Stacks project

Fix SheafHom arguments in stacks-cohomology

Tensor and pushforward QCoh stacks

Typo in stacks-cohomology

Thanks to Dario Weissmann
https://stacks.math.columbia.edu/tag/0764#comment-5138

LaTeX: \etale

Introduced the macro

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

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

Derived categories of quasi-coherent sheaves

	This introduces quite a bit of new material on D_{QCoh}(X) for
	algebraic stacks X. In particular it writes out completely the
	comparison with the definition in Martin Olsson's paper and it
	shows how to do derived pushforward.

	Finally, we state the approach to derived pullback, but for the
	moment the proof is missing.

Use previously introduced lemma

Tags: added new tags

Tags: added new tags

Small improvement

Fix snafu regarding "Serre subcategories"

	Wasn't careful enough to spell out exactly what was needed to define
	the subcategory of complexes with cohomology in a subcategory. There
	does not seem to be universal agreement on what is a "thick"
	subcategory of an abelian category, so we decided to not use this
	terminology. Instead we used "weak Serre subcategory" to indicate a
	strictly full subcategory closed under kernels and cokernels.

	Let me know if you disagree with this terminology.

Move section + slight improvement

Pushforward LCQ and flat comparisons

	This is the second ingredient for a naive discussion of
	pushforward of quasi-coherent sheaves.