Timeline for Modular interpretation of Ramanujan theta operator?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 25, 2013 at 18:27 | comment | added | Akhil Mathew | @Charles: thanks! I hadn't seen this part of Katz's article, and will take a look. | |
| Sep 25, 2013 at 15:25 | comment | added | Charles Rezk | Appendix 2 suggests to me that $\theta$ is modular on the stack of lifts of ordinary curves, though. | |
| Sep 25, 2013 at 15:22 | comment | added | Charles Rezk | $\theta$ is certainly a vector field on $Spec Z[[q]]$, and corresponds to $d/d\tau$ on the upper-half plane, but I would guess it does not extend over the moduli stack. | |
| Sep 25, 2013 at 15:20 | comment | added | Charles Rezk | Take a look at the appendices to Katz's "p-adic properties of modular schemes and modular forms" (in one of the Antwerps), especially A1 and A2. $\theta$ shows up in calculating things like the "Gauss-Manin connection" on $H^1$-de Rham of curves. | |
| Sep 25, 2013 at 14:48 | history | asked | Akhil Mathew | CC BY-SA 3.0 |