A Hodge-theoretic proof of Hwang's theorem on base manifolds of Lagrangian fibrations
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.
22 pages. Comments welcome!