15 citations · 19 across the 8 of their papers we have counts for
10 papers
Frobenius lifts and point counting for smooth curves
Amnon Besser, Rob de Jeu, Pengju Guan +1
We describe an algorithm for computing the zeta function of a proper, smooth curve over a finite field of characteristic , when the curve is given together with some auxilia…
The 2-part of the Bloch-Kato conjecture, and indivisibility results, for of some elliptic curves
Neil Dummigan, Vasily Golyshev, Rob de Jeu +1
For certain integers , we investigate the 2-part of the Bloch-Kato conjecture for , where is part of a (twisted) Legendre family that is 2-iso…
Bounding generators for the kernel and cokernel of the tame symbol for curves
Rob de Jeu
Let be a regular, irreducible curve that is projective over a field. We obtain bounds in terms of the arithmetic genus of for the generators that are required for the coker…
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…
Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields
David Burns, Rob de Jeu, Herbert Gangl +2
We develop methods for constructing explicit generators, modulo torsion, of the K_3-groups of imaginary quadratic number fields. These methods are based on either tessellations of…
A relative version of the Beilinson-Hodge conjecture
Rob de Jeu, James D. Lewis, Deepam Patel
Let k be an algebraically closed subfield of the complex numbers, and X a variety defined over k. One version of the Beilinson-Hodge conjecture that seems to survive scrutiny is th…
On K_2 of certain families of curves
Hang Liu, Rob de Jeu
We construct families of smooth, proper, algebraic curves in characteristic 0, of arbitrary genus g, together with g elements in the kernel of the tame symbol. We show that those e…
Etale cohomology, cofinite generation, and p-adic L-functions
Rob de Jeu, Tejaswi Navilarekallu
For a prime number p and a number field k, we first study certain etale cohomology groups with coefficients associated to a p-adic Artin representation of its Galois group, where w…
Frobenius lifts and point counting for smooth curves
Amnon Besser, François-Renaud Escriva, Rob de Jeu
We describe an algorithm to compute the zeta-function of a proper, smooth curve over a finite field, when the curve is given together with some auxiliary data. Our method is based…
Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves
Tim Dokchitser, Rob de Jeu, Don Zagier
We construct families of hyperelliptic curves over Q of arbitrary genus g with (at least) g integral elements in K_2. We also verify the Beilinson conjectures about K_2 numerically…