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Results tagged with algebraic-stacks
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user 29322
5
votes
1
answer
307
views
Comparison between pushforward-pullback and quasi-coherent pushforward-pullback
In the following, an algebraic stack means a stack over the big fppf site of a scheme, admitting a smooth, representable, surjective morphism from a scheme (no separation hypotheses), and let $\mathsf …
- 1,349
2
votes
Comparison between pushforward-pullback and quasi-coherent pushforward-pullback
Thanks to David Benjamin Lim's comment above, I have found an answer in the main case of interest to me, detailed below. However, I will leave this question open, since I am also interested in the ans …
- 1,349
7
votes
1
answer
605
views
Canonical comparison between $\infty$ and ordinary derived categories
This question is a follow-up to a previous question I asked.
If $\mathcal{D}(\mathsf{A})$ is the derived $\infty$-category of an (ordinary) abelian category $\mathsf{A},$ then the homotopy category $h …
- 1,349
3
votes
Canonical comparison between $\infty$ and ordinary derived categories
I learned the following partial answer from Peter Haine (any errors are of course my own). In the following I will ignore any set-theoretic issues which may arise.
Let $\mathsf{A}$ be an abelian cate …
- 1,349