Hyper-Kähler Fourfolds Fibered by Elliptic Products

Abstract

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.

8 pages, EPIGA published version

References in corpus (2)

• Base manifolds for fibrations of projective irreducible symplectic manifolds
• Monodromy Invariants and Polarization Types of Generalized Kummer Fibrations

Cited by in corpus (1)

• Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kahler geometry