Lagrangian fibrations of hyperkähler fourfolds

Abstract

The base surface $B$ of a Lagrangian fibration $X\twoheadrightarrow B$ of a projective, irreducible symplectic fourfold $X$ is shown to be isomorphic to ${\mathbb{P}}^2$.

12 pages

References in corpus (1)

• Base manifolds for fibrations of projective irreducible symplectic manifolds

Cited by in corpus (4)

• Special Kähler geometry and holomorphic Lagrangian fibrations
• Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfolds
• Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
• The monodromy of compact Lagrangian fibrations