4 citations · 5 across the 2 of their papers we have counts for
4 papers
Torsion points of small order on hyperelliptic curves
Boris M. Bekker, Yuri G. Zarhin
Let be a hyperelliptic curve of genus over an algebraically closed field of characteristic zero and one of the Weierstrass points in . Let be t…
Torsion Points of order 2g+1 on odd degree hyperelliptic curves of genus g
Boris M. Bekker, Yuri G. Zarhin
Let be an algebraically closed field of characteristic different from , a positive integer, a degree monic polynomial without repeated roots, $C_f:…
Families of elliptic curves with rational torsion points of even order
Boris M. Bekker, Yuri G. Zarhin
This paper is a follow up of arXiv:1702.02255 [math.NT]. We construct explicitly versal families of elliptic curves with rational points of order 4, 6, 8, 10, 12 respectively.
The divisibility by 2 of rational points on elliptic curves
Boris M. Bekker, Yuri G. Zarhin
We give a simple proof of the well-known divisibility by 2 condition for rational points on elliptic curves with rational 2-torsion. As an application of the explicit division by $…