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The Stacks project

History of tag 07B3

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type time link
changed the proof 2022-01-05 1f9285c
Make notation for modules on stacks more uniform

It is possible that these changes make the problem worse!
changed the statement and the proof 2013-05-24 719c185
LaTeX: \etale

Introduced the macro

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

and replaced all occurences of \acute{e}tale by \etale
changed the proof 2013-05-18 e06963e
Move lemma earlier
moved the statement to file stacks-perfect.tex 2013-02-22 50a9d1d
Split chapter Cohomology of Stacks; added new chapter

Reason: Same structure as for schemes and spaces
New chapter added to the project
Filename: stacks-perfect.tex
Title: Derived Categories of Stacks
changed the statement and the proof 2013-02-22 50a9d1d
Split chapter Cohomology of Stacks; added new chapter

Reason: Same structure as for schemes and spaces
New chapter added to the project
Filename: stacks-perfect.tex
Title: Derived Categories of Stacks
assigned tag 07B3 2011-12-07 a9c3de7
TAGS: Added new tags
created statement with label lemma-higher-shriek-quasi-coherent in stacks-cohomology.tex 2011-12-04 b20e14a
QCoh on lisse-etale is weak serre

	The proof of this is now finally done. What's more important is
	that we have finally proved the result that is going to be a key
	ingredient later on, namely that Lg_!H with H quasi-coherent on
	the lisse-etale site) is a complex whose cohomology sheaves are
	locally quaasi-coherent and have the flat base change property.
	Essentially this is saying the following: Given a ring A and a
	module M the functor

		B |---> Tor_p^A(B, M)

	is locally quasi-coherent and has the flat base change property.
	This is obvious as these Tor groups can be computed using a
	fixed free resolution of M.