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arxiv: 1703.07888 · v1 · pith:VTQCF52Dnew · submitted 2017-03-22 · 🧮 math.AG · math.NT

On the structure of elliptic curves over finite extensions of mathbb{Q}_p with additive reduction

classification 🧮 math.AG math.NT
keywords mathbbreductionstructureadditiveellipticfinitegrouptopological
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Let $p$ be a prime and let $K$ be a finite extension of $\mathbb{Q}_p$. Let $E/K$ be an elliptic curve with additive reduction. In this paper, we study the topological group structure of the set of points of good reduction of $E(K)$. In particular, if $K/\mathbb{Q}_p$ is unramified, we show how one can read off the topological group structure from the Weierstrass coefficients defining $E$.

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