R. Kloosterman

collaborators

4 papers

math.AG2026

The Ciliberto-Di Gennaro conjecture for $d = 5$

Remke Kloosterman

The Ciliberto-Di Gennaro conjecture predicts that a nodal hypersurface of degree $d \geq 3$ with at most $2 (d - 2) (d - 1)$ nodes is either factorial, or contains a plane and has at leas…

math.AG2026

Supersingular elliptic surfaces and Infinitesimal Torelli

Remke Kloosterman

In 1981 Katsura presented a classification of non-rational Jacobian elliptic surfaces which admit a base change which is rational. In 2004 we presented a classification of Jacobian…

math.NT2025

Determining explicitly the Mordell-Weil group of certain rational elliptic surfaces

Remke Kloosterman

Let $A, B$ be nonzero rational numbers. Consider the elliptic curve $E_{A, B} / Q (t)$ with Weierstrass equation $y^{2} = x^{3} + A t^{6} + B$ . An algorithm to determine $\mathrm{rank } E_{…

math.AG2025

On a conjecture on Hodge loci of linear combinations of linear subvarieties

Remke Kloosterman

For each $k \geq 5$ we give a counterexample to a conjecture of Movasati on the dimension of certain Hodge loci of cubic hypersurfaces in $P^{2 k + 1}$ containing two $k$ -pla…

The Ciliberto-Di Gennaro conjecture for d=5

Supersingular elliptic surfaces and Infinitesimal Torelli

Determining explicitly the Mordell-Weil group of certain rational elliptic surfaces

On a conjecture on Hodge loci of linear combinations of linear subvarieties

The Ciliberto-Di Gennaro conjecture for $d = 5$