Elliptic K3 surfaces with geometric Mordell-Weil rank 15
Remke Kloosterman
math.AGarXiv:math/0502439
Abstract
We prove that the elliptic surface y2=x3+2(t8+14t4+1)x+4t2(t8+6t4+1) has geometric Mordell-Weil rank 15. This completes a list of Kuwata, who gave explicit examples of elliptic K3-surfaces with geometric Mordell-Weil rank 0,1,..., 14, 16, 17,18.
Create a lesson
Related papers
The Tate Conjecture for Ordinary Calabi-Yau Threefolds
Lukas Brantner
Weighted, GIT and Néron--Tate heights on genus-two moduli and Jacobians
Sajad Salami
Monodromy of Tate-Linear varieties
Livia Grammatica
On the Cohomology Classes of Certain Eisenstein-Kronecker Forms
Zhixuan Sheng, Jie Zhou
Campana strong approximation on generalised Markoff surfaces
Dasheng Wei
Quillen's local parameter conjecture in dimension four
Yunpeng Li