Timeline for Regulators of Number fields and Elliptic Curves
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 18, 2011 at 14:31 | comment | added | S. Carnahan♦ | That is a nice insight. Thank you. | |
| Apr 18, 2011 at 4:04 | comment | added | Arijit | Oops I have a typo the target of the map should be the product of all local cohomology groups. | |
| Apr 18, 2011 at 4:03 | comment | added | Arijit | I think the major difference between the BSD and the analytic class number formula is that BSD talks about zeroes whereas Class number formula talks about poles. Zeroes and poles behave differently. Also in number fields case we have the geometry of numbers that proves finiteness of class group. But if one takes the definition of the class group to be the kernel of $H^1 (G_K,E)$ to $H^1(G_(K_p), E_p) (just like sha) then its not clear how to show the finiteness. One can show in some special cases adapting the proof of Kolyvagin where the group of units in the number fields have rank 0 or 1. | |
| Oct 24, 2009 at 5:21 | history | answered | S. Carnahan♦ | CC BY-SA 2.5 |