Timeline for Local root number
Current License: CC BY-SA 2.5
8 events
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Jun 23, 2010 at 23:08 | history | edited | Emerton | CC BY-SA 2.5 |
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Jun 23, 2010 at 23:03 | comment | added | Arijit | Thanks a lot Prof. Emerton. I didnt think of it that way. I will now look up the related things that I am sure will teach me a lot of things. | |
Jun 23, 2010 at 22:43 | history | edited | Emerton | CC BY-SA 2.5 |
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Jun 23, 2010 at 6:09 | comment | added | Arijit | Thanks a lot to both Emerton and Junkie. I guess I will find it helpful as I am currently implementing sage to compute root numbers for elliptic curves over number fields. But I found the problem highly unmotivating since I did nt understand what the local root numbers are. | |
Jun 23, 2010 at 5:51 | vote | accept | Arijit | ||
Jun 23, 2010 at 4:04 | comment | added | Emerton | Dear Junkie, Thanks for this. | |
Jun 23, 2010 at 4:01 | comment | added | Junkie | For EC, there is also work of Whitehouse, Kobayashi, and for EC symmetric powers by Dummigan Martin and Watkins. Halberstadt's original computation in Q_2/Q_3 used the crufty method of determining sufficient p-adic neighborhoods, then finding a curve in Cremona's table (assuming modularity) in this nbhood, thus knowing its global root number, and work back. www-math.mit.edu/~dw/maths/Rootabstract.html math.nagoya-u.ac.jp/~shinichi/rootnumber.pdf neil-dummigan.staff.shef.ac.uk/efNEW.dvi All these, and that of Dokchitsers, build on others, Rohrlich particularly. | |
Jun 23, 2010 at 0:41 | history | answered | Emerton | CC BY-SA 2.5 |