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math.AG2026
The Ciliberto-Di Gennaro conjecture for
Remke Kloosterman
The Ciliberto-Di Gennaro conjecture predicts that a nodal hypersurface of degree with at most 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.AG2025
On a conjecture on Hodge loci of linear combinations of linear subvarieties
Remke Kloosterman
For each we give a counterexample to a conjecture of Movasati on the dimension of certain Hodge loci of cubic hypersurfaces in containing two -pla…