Timeline for Cohomological interpretation of G-equivariant line bundles
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2016 at 19:48 | comment | added | Jakob | I have removed the reference to Jantzen to avoid confusion. | |
| Nov 3, 2016 at 19:47 | history | edited | Jakob | CC BY-SA 3.0 |
remove misleading reference to Jantzen
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| Nov 2, 2016 at 18:48 | comment | added | Tobias Kildetoft | You might mean II.2.7, though I don't see how it appears there either. I asked because he for example does not as far as I can remember use the notation $\operatorname{Pic}^G(G/B)$ anywhere. | |
| Nov 2, 2016 at 14:52 | vote | accept | Jakob | ||
| Nov 2, 2016 at 14:52 | comment | added | Jakob | @TobiasKildetoft: the functor $\lambda \mapsto \mathcal O(-\lambda)$ is ubiquitous in Jantzen, I.2.7, for example. I currently don't find the fact that it yields a morphism as stated in my question; I seem to have read this somewhere else. | |
| Nov 2, 2016 at 13:29 | comment | added | Marc Hoyois | $Pic^G(X)$ is the same cohomology group of the quotient stack $[X/G]$ in the smooth or fppf topology: $H^1_{fppf}([X/G],\mathcal O^\times)$. | |
| Nov 2, 2016 at 13:22 | history | edited | SashaP |
edited tags
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| Nov 2, 2016 at 13:04 | answer | added | SashaP | timeline score: 6 | |
| Nov 2, 2016 at 12:38 | comment | added | Tobias Kildetoft | Could you include a reference to where in Jantzen's book this appears? | |
| Nov 2, 2016 at 12:25 | history | asked | Jakob | CC BY-SA 3.0 |