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arXiv · 2407.08430

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields

Ben Forrás·Katharina Müller
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Abstract

Let $E/\mathbb{Q}$ be an elliptic curve and let $p\ge 5$ be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integrality results for characteristic elements of signed Selmer groups along the cyclotomic $\mathbb{Z}_p$-extension of weakly ramified base fields $K/\mathbb{Q}_p$.

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Ben Forrás, Katharina Müller. 2024-07-11. On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields. https://doi.org/10.1007/s40993-025-00635-9

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