On almost holomorphic Lagrangian fibrations

Abstract

We prove that the pull back of an ample line bundle by an almost holomorphic Lagrangian fibration is nef. As an application, we show birational semi rigidity of Lagrangian fibrations.

References in corpus (1)

• Lagrangian fibrations on hyperkähler manifolds - On a question of Beauville

Cited by in corpus (4)

• On isotropic divisors on irreducible symplectic manifolds
• On the log minimal model program for irreducible symplectic varieties
• On families of lagrangian tori on hyperkaehler manifolds
• Subvarieties of moduli spaces of sheaves via finite coverings