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On the $p$-part of the Birch-Swinnerton-Dyer formula for multiplicative primes. (arXiv:1704.06608v1 [math.NT])
来源于:arXiv
Let $E/\mathbf{Q}$ be a semistable elliptic curve of analytic rank one, and
let $p>3$ be a prime for which the Galois group of the extension
$\mathbf{Q}(E[p])/\mathbf{Q}$ is isomorphic to ${\rm GL}_2(\mathbf{F}_p)$. 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. 查看全文>>
