Timeline for Cohomology of the moduli space of rational curves with $n$ marked points with spin structure
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 25, 2020 at 17:26 | answer | added | Will Sawin | timeline score: 3 | |
| Jun 25, 2020 at 17:01 | comment | added | Daniil Rudenko | I see, thank you. | |
| Jun 25, 2020 at 17:00 | comment | added | Will Sawin | You want the Hodge structure to be mixed Tate type then? It is for $n=4$, because $\mathcal M_{0,4}^s $ is $ \mathbb P^1$ minus six points. Probably is for $n=5$ as well. I guess this should stop at some point though, but I don't know. | |
| Jun 25, 2020 at 16:41 | comment | added | Daniil Rudenko | Thank you! I guess that I was implicitly working over C. | |
| Jun 25, 2020 at 16:39 | comment | added | Will Sawin | This definition doesn't define a finite cover of $\mathcal M_{0,n}$ over $\mathbb Q$ - you need to pick a base point. However, it's possible to check, regardless of the base point, that the cohomology of $\mathcal M_{0,4}^s$ is Artin-Tate, by just bashing it out. | |
| Jun 25, 2020 at 15:28 | history | asked | Daniil Rudenko | CC BY-SA 4.0 |