Timeline for On Simpson's motivicity conjecture
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 20, 2023 at 16:00 | comment | added | Donu Arapura | @user19232801 The term motivic local system is a bit ambiguous. For me, it would be mean that the local system is defined over $\mathbb{Q}$ among other things.... | |
| Nov 18, 2023 at 20:23 | comment | added | user19232801 | I'm probably misunderstanding the definitions (or maybe the OP stated them wrong), but why can't you get algebraic integers? E.g. local systems with third roots of unity arise as summands of the pushforward of a triple cover of the curve. | |
| Nov 18, 2023 at 13:55 | comment | added | Donu Arapura | Motivic local systems should be rational i.e. they should lie in $Hom(\mathbb{Z}^2,\mathbb{Q}^*)$, but clearly $Hom(\mathbb{Z}^2,\mathbb{C}^*)$ is bigger. | |
| Nov 18, 2023 at 13:49 | comment | added | user19232801 | Could you say what the obstruction is for local systems on an elliptic curve? | |
| Nov 18, 2023 at 13:12 | history | answered | Donu Arapura | CC BY-SA 4.0 |