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arXiv · 2311.08977

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

Benjamin Bakker·Christian Schnell
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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.

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Benjamin Bakker, Christian Schnell. 2023-11-15. A Hodge-theoretic proof of Hwang's theorem on base manifolds of Lagrangian fibrations. https://arxiv.org/abs/2311.08977

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