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arXiv · 2409.03546

On pseudo-nullity of fine Mordell-Weil group

Meng Fai Lim·Chao Qin·Jun Wang
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Abstract

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 $\mathbb{Z}_p^2$.

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Meng Fai Lim, Chao Qin, Jun Wang. 2024-09-05. On pseudo-nullity of fine Mordell-Weil group. https://doi.org/10.1017/s0004972725000024

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