Timeline for When does derived pullback commute with infinite products?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 15, 2018 at 20:58 | vote | accept | Saal Hardali | ||
| Feb 4, 2017 at 8:12 | comment | added | pbelmans | You might also be interested in arxiv.org/abs/1501.01999, where $f^*$ having a left adjoint is called a Grothendieck--Neeman duality situation, see theorem 1.7. This is closely related to the answer of Marc. | |
| Feb 3, 2017 at 21:15 | answer | added | Marc Hoyois | timeline score: 7 | |
| Feb 3, 2017 at 11:43 | comment | added | Saal Hardali | @DenisNardin For instance i'm pretty sure a counterexample is the sheaf $\prod_n k[t]/t^n k[t]$ pulled back along $\mathbb{A}^1 - 0$ | |
| Feb 3, 2017 at 9:32 | comment | added | Saal Hardali | @DenisNardin I was under the impression infinite products don't even commute with restriction to open subsets. | |
| Feb 3, 2017 at 1:01 | comment | added | Denis Nardin | This happens iff $f^*$ is a right adjoint. I think that the go-to answer is that it happens if $f$ is smooth. I am not sure if you can say anything in other situations. | |
| Feb 2, 2017 at 21:09 | history | asked | Saal Hardali | CC BY-SA 3.0 |