R. de Jeu

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math.NT2026

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_{2}$ of some elliptic curves

Neil Dummigan, Vasily Golyshev, Rob de Jeu +1

For certain integers $u$ , we investigate the 2-part of the Bloch-Kato conjecture for $L (E_{u}, 2)$ , where $E_{u} : y^{2} = x (x + 1) (x + u^{2})$ is part of a (twisted) Legendre family that is 2-iso…

math.NT2024

$K_{2}$ of families of elliptic curves over non-Abelian cubic and quartic fields

François Brunault, Rob de Jeu, Hang Liu +1

We give two constructions of families of elliptic curves over cubic or quartic fields with three, respectively four, `integral' elements in the kernel of the tame symbol on the cur…

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for K2​ of some elliptic curves

K2​ of families of elliptic curves over non-Abelian cubic and quartic fields

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_{2}$ of some elliptic curves

$K_{2}$ of families of elliptic curves over non-Abelian cubic and quartic fields