Timeline for The cohomology of modular curves as a module over the Galois group
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 16, 2020 at 7:34 | vote | accept | Asvin | ||
| Aug 16, 2020 at 7:34 | comment | added | Asvin | Yep, that's what I had in mind. Thanks a lot! | |
| Aug 16, 2020 at 7:33 | comment | added | David Loeffler | Yes, that's right, assuming that by $\omega$ you mean the sheaf of differentials, and you take k=2 in Jared's formulae. | |
| Aug 16, 2020 at 2:14 | comment | added | Asvin | Just to make sure I understand things correctly: If I wanted to use a similar decomposition for etale cohomology instead, I would have to pass to an algebraic closure, use a comparison theorem with algebraic de rham which in turn by hodge theory is the sum of sheaf cohomology of $H^0(X,\omega)$ and it's dual. Since everything is functorial, this isomorphism also preserves the structure of the group action. Do I have that right? | |
| Aug 13, 2020 at 11:13 | history | answered | David Loeffler | CC BY-SA 4.0 |