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

2017/04/21 by Francesc Castella, Castella, Francesc · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1704.06608

openalex publication_date 2017/04/21 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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

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