Timeline for A question about Kato's explicit reciprocity law
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Apr 9, 2018 at 13:17 | comment | added | Laurent Berger | There is no nontrivial sequence $\{z_n\}$ satisfying your condition if $F$ is not $Q_p$ (there are no "universal norms"). | |
| Apr 9, 2018 at 10:46 | comment | added | GRH | If we take $z=(z_n) $ with $Tr_{n+1/n}^{LT}(z_{n+1})=z_n$ and $x=(x_n)$ with $x_n=[q/\pi^n](z_n)$, then we have $x\in{S}$. Take $f(T)\in{B_{rig,F}}^+$ such that $f(u_n)=\log_{LT}(x_n)$ and $f(T)\in{B_{rig,F}^{+,\psi_q=1/\pi}}$, $V=F(\chi_{\pi})$, then we have $h_{F_n,V}^1(\partial{f(T)}u)=\delta(z_n)$ and the sequence $\{\delta(z_n)\}$ can be viewed as an element in $H^1_{Iw}(F,V)$. In this situation, do we have that $\{h_{F_n,V(\chi_{\pi}^j)}^1(\partial{f(T)}u\otimes e_{j})\}_{n\geq1}$ is the twist a la soule of $\{\delta(z_n)\}_{n\geq1}$ by $\chi_{\pi}^j$? | |
| Apr 9, 2018 at 7:47 | history | answered | Laurent Berger | CC BY-SA 3.0 |