A Hodge-theoretic proof of Hwang's theorem on base manifolds of Lagrangian fibrations

2023/11/15 by Bakker, Benjamin, Schnell, Christian · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.08977

Abstract

We give a Hodge-theoretic proof of Hwang's theorem, which says that if the base of a Lagrangian fibration of an irreducible holomorphic symplectic manifold is smooth, it must be projective space.

Cited by

• Lagrangian Fibrations onto Varieties with Isolated Quotient Singularities
• On nefness of the lowest piece of Hodge modules

Related

• Lagrangian Fibrations onto Varieties with Isolated Quotient Singularities
• Hodge theory and Lagrangian fibrations on holomorphic symplectic manifolds
• Higher direct images of Lagrangian fibrations
• Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds
• Lagrangian fibrations for IHS fourfolds