Timeline for Does Gorensteinness of $\mathbb{T}_{\mathfrak{m}}$ imply multiplicity one?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 4, 2016 at 16:59 | vote | accept | Kestutis Cesnavicius | ||
| Oct 4, 2016 at 14:45 | answer | added | Olivier | timeline score: 4 | |
| Oct 4, 2016 at 7:07 | comment | added | znt | My memory is that if the associated Galois rep is abs irred, and, crucially, if $T_p$ is not in $m$ (ordinarity) then Gross in his companion forms paper shows that the $m$-torsion in $J$ is an extension of $T/m$ (one-dimensional) by $T^\vee/m$, and hence by Nakayama $T$ is Gorenstein iff $J[m]$ is 2-dimensional. I don't know about other cases though. Note that Emerton and Calegari wrote a "Mazur revisited" paper once, this might be worth a look. | |
| Oct 4, 2016 at 4:16 | comment | added | post.as.a.guest | See Section 2 (and other parts) here: projecteuclid.org/euclid.em/1227031895 | |
| Oct 4, 2016 at 2:55 | history | asked | Kestutis Cesnavicius | CC BY-SA 3.0 |