7 citations · 12 across the 6 of their papers we have counts for
6 papers
Elliptic K3 surfaces with geometric Mordell-Weil rank 15
Remke Kloosterman
We prove that the elliptic surface y^2=x^3+2(t^8+14t^4+1)x+4t^2(t^8+6t^4+1) has geometric Mordell-Weil rank 15. This completes a list of Kuwata, who gave explicit examples of ellip…
Explicit sections on Kuwata's elliptic surfaces
Remke Kloosterman
We give explicit generators for subgroups of finite index of the Mordell-Weil groups of several families of elliptic surfaces introduced by Masato Kuwata.
Higher Noether-Lefschetz loci of elliptic surfaces
Remke Kloosterman
We calculate the dimension of the locus of elliptic surfaces over P^1 with a section and a given Picard number, in the corresponding moduli space.
A new model for the theta divisor of the cubic threefold
Michela Artebani, Remke Kloosterman, Marco Pacini
In this paper we give a birational model for the theta divisor of the intermediate Jacobian of a generic cubic threefold . We use the standard realization of as a conic bund…
Locally trivial families of hyperelliptic curves: the geometry of the Weierstrass scheme
Remke Kloosterman, Orsola Tommasi
In this paper we describe some geometrical properties of the Weierstrass scheme of locally trivial hyperelliptic fibrations.
The p-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large
Remke Kloosterman
In this paper it is shown that for every prime p>5 the dimension of the p-torsion in the Tate-Shafarevich group of E/K can be arbitrarily large, where E is an elliptic curve define…