Timeline for Deducing BSD from Gross-Zagier and Kolyvagin
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 11, 2013 at 7:02 | comment | added | Emerton | Dear stankewicz, Since GZ use a modular parameterization of their elliptic curve, they probably assumed that the elliptic curves is defined over $\mathbb Q$ (not just over an imag. quad. field), but you are right that they then study its Heegner point over an imag. quad. field. Regards, Matt | |
| Mar 11, 2013 at 6:52 | comment | added | stankewicz | It's also worth noting that additional work by Kolyvagin proves that under these conditions, the Tate-Shafarevich group of $E$ over $\mathbf{Q}$ is also finite. | |
| Mar 11, 2013 at 6:45 | history | answered | stankewicz | CC BY-SA 3.0 |