More generally, when $E(K_m)$ is stable as $m$ increases for an extension equence $K_0<K_1<K_2<\cdots<K_m<\cdots$ satisfy ? In the case, is $\mathrm{Sel}(E/K_m)$ stable as $m\rightarrow \infty$?
If $E(K)=E(L)$ for an elliptic curve $E$ and an algebraic extension $L/K$, what can we say about $Sel(E/K), Sel(E/L), L/K$?
Donggeon Yhee
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