11 citations · 14 across the 5 of their papers we have counts for
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A family of marked cubic surfaces and the root system D_5
Elisabetta Colombo, Bert van Geemen
We define and study a family of cubic surfaces in the projectivized tangent bundle over a four dimensional projective space associated to the root system D_5. The 27 lines are rati…
Hessians and the moduli space of cubic surfaces
Elisa Dardanelli, Bert van Geemen
The Hessian of a general cubic surface is a nodal quartic surface, hence its desingularisation is a K3 surface. We determine the transcendental lattice of the Hessian K3 surface fo…
Some remarks on Brauer groups of K3 surfaces
Bert van Geemen
We discuss the geometry of the genus one fibrations associated to an elliptic fibration on a K3 surface. We show that the two-torsion subgroup of the Brauer group of a general elli…
A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces
I. Dolgachev, B. van Geemen, S. Kondo
In this paper we show that the moduli space of nodal cubic surfaces is isomorphic to a quotient of a 4-dimensional complex ball by an arithmetic subgroup of the unitary group. This…
An isogeny of K3 surfaces
Bert van Geemen, Jaap Top
In a recent paper Ahlgren, Ono and Penniston described the L-series of K3 surfaces from a certain one parameter family in terms of those of a particular family of elliptic curves.…
Quaternionic pryms and Hodge classes
B. van Geemen, A. Verra
Abelian varieties of dimension 2n on which a definite quaternion algebra acts are parametrized by symmetrical domains of dimension n(n-1)/2. Such abelian varieties have primitive H…