Timeline for $\mu$-invariant and Pontryagin dual of Selmer group of elliptic curves 2
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 11, 2014 at 15:35 | comment | added | Chris Wuthrich | Theorem 11.3.11 | |
| Apr 11, 2014 at 15:04 | comment | added | Suman | I have already searched the book but could not find it. The free e-copy of the book is available here. mathi.uni-heidelberg.de/~schmidt/NSW2e | |
| Apr 11, 2014 at 14:38 | comment | added | Chris Wuthrich | $H^1(\mu_p)$ is not just the class group is also contains the $p$-units modulo $p$-th powers and they get a $\mu=1$. Should be some where in cohomology of number fields but I don't have it in front of me. | |
| Apr 11, 2014 at 6:53 | vote | accept | Suman | ||
| Apr 11, 2014 at 6:52 | vote | accept | Suman | ||
| Apr 11, 2014 at 6:52 | |||||
| Apr 11, 2014 at 6:45 | comment | added | Suman | I think the statement $"H^1(\mu_p)^* \sim \Lambda/p"$ in the above answer is incorrect since Ferrero-Washington Theorem suggests that $"H^1(\mu_p)^*"$ should have $\mu$-invariant zero. | |
| Jan 27, 2014 at 21:13 | comment | added | Chris Wuthrich | ok. i am sure you will find my email address. | |
| Jan 27, 2014 at 17:55 | comment | added | Suman | Can I email you regarding some of the queries I have about your answer ? | |
| Jan 26, 2014 at 23:53 | comment | added | Chris Wuthrich | $\mu_p$is the $p$-th roots of unity - as a Galois module. To get this look at the dual isogeny: it is made up by two isogenies of degree $3$ having a $\mathbb{Q}$-rational $3$-torsion point in the kernel. | |
| Jan 26, 2014 at 18:36 | comment | added | Suman | Will you kindly explain how does one get the two exact sequences and what do you mean by $\mu_{p}$ in the second exact sequence ? | |
| Jan 25, 2014 at 5:23 | vote | accept | Suman | ||
| Apr 11, 2014 at 6:50 | |||||
| Jan 24, 2014 at 12:51 | history | answered | Chris Wuthrich | CC BY-SA 3.0 |