Timeline for The current status of the Birch & Swinnerton-Dyer Conjecture
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 13, 2010 at 4:51 | comment | added | Emerton | Bellaiche and Chenevier have a long paper/book on the topic of eigenvarieties and Selmer groups. There are (at least) a couple of people who post here who are at least somewhat familiar with it; I'm one of them, and if I get a chance, I'll try to figure out what they can prove. As for Skinner and Urban, they have annouced examples where the parity is even, the $L$-function vanishes, and the Selmer group has rank at least $2$, but no details have appeared in print. Also, as I said, I think that for both sets of authors, they may be restricted to the case of modular forms of weight $> 2$. | |
| Jan 13, 2010 at 4:35 | comment | added | Chandan Singh Dalawat | It would be nice if someone who has read the Bellaïche--Chenevier and Skinner--Urban papers tells us what their result have to say about the question $r>1?\Rightarrow d>0$. | |
| Jan 13, 2010 at 4:27 | vote | accept | Chandan Singh Dalawat | ||
| Jan 12, 2010 at 5:12 | history | answered | Emerton | CC BY-SA 2.5 |