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- W4308233265 abstract "Let $p$ be a fixed odd prime and let $K$ be an imaginary quadratic field in which $p$ splits. Let $A$ be an abelian variety defined over $K$ with supersingular reduction at both primes above $p$ in $K$. Under certain assumptions, we give a growth estimate for the Mordell--Weil rank of $A$ over finite extensions inside the $mathbb{Z}_p^2$-extension of $K$. In the last section, written by Chris Williams, he includes some speculative remarks on the $p$-adic $L$-functions for $mathrm{GSp}(4)$ corresponding to the multi-signed Selmer groups constructed in this paper." @default.
- W4308233265 created "2022-11-09" @default.
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- W4308233265 date "2021-12-01" @default.
- W4308233265 modified "2023-10-16" @default.
- W4308233265 title "On the Mordell-Weil Ranks of supersingular abelian varieties over $mathbb{Z}_p^2$-extensions" @default.
- W4308233265 doi "https://doi.org/10.48550/arxiv.2112.00280" @default.
- W4308233265 hasPublicationYear "2021" @default.
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