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ON PSEUDO-NULLITY OF THE FINE MORDELL–WEIL GROUP
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society , First View
- Published online by Cambridge University Press:
- 03 February 2025, pp. 1-9
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- Article
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Let E be an elliptic curve defined over
$\mathbb {Q}$ with good ordinary reduction at a prime 
$p\geq 5$ and let F be an imaginary quadratic field. Under appropriate assumptions, we show that the Pontryagin dual of the fine Mordell–Weil group of E over the 
$\mathbb {Z}_{p}^2$-extension of F is pseudo-null as a module over the Iwasawa algebra of the group 
$\mathbb {Z}_{p}^2$.
