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arXiv · 1704.06608

On the $p$-part of the Birch-Swinnerton-Dyer formula for multiplicative primes

Francesc Castella
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Abstract

Let $E/\mathbf{Q}$ be a semistable elliptic curve of analytic rank one, and let $p>3$ be a prime for which $E[p]$ is irreducible. In this note, following a slight modification of the methods of Jetchev-Skinner-Wan, we use Iwasawa theory to establish the $p$-part of the Birch and Swinnerton-Dyer formula for $E$. In particular, we extend the main result of loc.cit. to primes of multiplicative reduction.

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Francesc Castella. 2017-04-21. On the $p$-part of the Birch-Swinnerton-Dyer formula for multiplicative primes. https://arxiv.org/abs/1704.06608

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