R. Kloosterman

activity

20022026

most citedCalculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces

31 citations · 99 across the 38 of their papers we have counts for

collaborators

39 papers

math.AG2026

Nodal deformations of hypersurfaces with an ordinary $m$ -fold point

Remke Kloosterman

Let $X \subset O^{n}$ be a nodal hypersurface of degree $d$ with an ordinary $m$ -fold point. Let $δ_{X}$ be the largest value of $δ$ such that $X$ is contained in the closure o…

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.AG2024★ 1 cited

Hodge loci associated with linear subspaces intersecting in codimension one

Remke Kloosterman

Let $X \subset P^{2 k + 1}$ be a smooth hypersurface containing two k-dimensional linear spaces $Π_{1}, Π_{2}$ intersecting in codimension one. In this paper we study the question…

math.AG2023

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…

Nodal deformations of hypersurfaces with an ordinary m-fold point

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

Hodge loci associated with linear subspaces intersecting in codimension one

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

Nodal deformations of hypersurfaces with an ordinary $m$ -fold point

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