Timeline for Which primes can divide orders of Tate-Shafarevich groups?
Current License: CC BY-SA 2.5
5 events
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| Mar 23, 2011 at 13:25 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Mar 23, 2011 at 10:07 | comment | added | Remke Kloosterman | - I attended a talk by Steve Donnelley in 2005, where he explained how one can get d_p<p. He applied a two-descent to a subclass of the examples of large p-Selmer groups that Ed Schaefer and I constructed. At the time he did not work out a formula for $d_p$, but I figure that you get something like $d_p \sim 1/12 p$. Unfortunately, I never saw a written account of this. There is a further argument that shows that the examples of Ed and my are examples of big sha. But I did not write that up yet. - If you fix besides $p$ also $E$ (as you and Sharif did) then $d_p\geq p$ holds. | |
| Mar 23, 2011 at 6:50 | history | edited | KConrad | CC BY-SA 2.5 |
removing ugly hack for Sha
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| Mar 23, 2011 at 6:31 | history | edited | Pete L. Clark | CC BY-SA 2.5 |
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| Mar 23, 2011 at 6:20 | history | answered | Pete L. Clark | CC BY-SA 2.5 |