4 citations · 4 across the 1 of their papers we have counts for
3 papers
math.NT2021★ 4 cited
Abelian varieties of prescribed order over finite fields
Raymond van Bommel, Edgar Costa, Wanlin Li +2
Given a prime power and , we prove that every integer in a large subinterval of the Hasse--Weil interval is $#A(\mathbb{F}_q)$…
math.NT2018
Explicit arithmetic intersection theory and computation of Néron-Tate heights
Raymond van Bommel, David Holmes, J. Steffen Müller
We describe a general algorithm for computing intersection pairings on arithmetic surfaces. We have implemented our algorithm for curves over , and we show how to use it…
math.NT2018
The Birch and Swinnerton-Dyer conjecture for an elliptic curve over
Raymond van Bommel
In this paper we show the Birch and Swinnerton-Dyer conjecture for a certain elliptic curve over is equivalent to the same conjecture for a certain pair o…