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In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.
9
votes
Basic questions about stacks 2
Regarding 3), Andrew Kresch just told me that they gave up on the project.
6
votes
Accepted
Do algebraic stacks satisfy fpqc descent?
It may be helpful to have a look at these notes by Anatoly Preygel (see also MO/15910/2503). In particular, Proposition 3.3.6 says that an algebraic stack is an fpqc sheaf if the diagonal is quasi-af …
37
votes
3
answers
6k
views
Conjectures in Grothendieck's "Pursuing stacks"
I read on the nLab that in "Pursuing stacks" Grothendieck made several interesting conjectures, some of which have been proved since then. …