Timeline for Integral Tate-Sen theory
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 1, 2018 at 1:10 | comment | added | Daniel Litt | Are you sure? I was only able to prove it was killed by some explicit element... | |
| Nov 30, 2018 at 17:35 | comment | added | David Hansen | By inflation-restriction, the cokernel injects into $H^1(G_{K_{\infty}},\mathcal{O}_C)$, and the latter is almost zero as an $\mathcal{O}_{K_{\infty}}$-module. | |
| Nov 19, 2018 at 18:58 | comment | added | Daniel Litt | Hmm; I think the claim in your comment is not quite right if K is very ramified...but the cokernel is indeed killed by p. | |
| Nov 17, 2018 at 2:18 | vote | accept | Daniel Litt | ||
| Nov 17, 2018 at 2:18 | comment | added | Daniel Litt | OK, great, I knew I was missing something simple. This seems to work--thanks! | |
| Nov 16, 2018 at 22:21 | comment | added | David Hansen | BTW, $H^1(\Gamma, \widehat{\mathcal{O}_{K_{\infty}}}(i))$ and $H^1(G_K, \widehat{\mathcal{O}_{C}}(i))$ are uniformly comparable: there is an injective map from the first guy to the second, and the cokernel is killed by any element in the maximal ideal of $\mathcal{O}_K$, so in particular by $p$. | |
| Nov 16, 2018 at 22:09 | history | answered | David Hansen | CC BY-SA 4.0 |