Hyper-Kähler Fourfolds Fibered by Elliptic Products
Authors: Ljudmila Kamenova
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Ljudmila Kamenova
Every fibration of a projective hyper-Kähler fourfold has fibers which are
Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two
curve, these have been classified by Markushevich. We study those cases where
the Abelian surface is a product of two elliptic curves, under some mild
genericity hypotheses.
Kamenova, Ljudmila; Verbitsky, Misha, 2021, Holomorphic Lagrangian Subvarieties In Holomorphic Symplectic Manifolds With Lagrangian Fibrations And Special Kähler Geometry, European Journal Of Mathematics, 8, 2, pp. 514-522, 10.1007/s40879-021-00488-3.