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

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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Publication Details

Journal
Annales de l’institut Fourier
Published
2026-03-26
DOI
https://doi.org/10.5802/aif.3786
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
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article

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

Christian Schnell, Benjamin Bakker
Annales de l’institut Fourier
Geometry and complex manifolds
article

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

Christian Schnell, Benjamin Bakker
article en

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.

Annales de l’institut Fourier
University of Illinois Chicago (US), Stony Brook University (US)
Reduced inequalities
Openalex Percentile: Top 5%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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A Hodge-theoretic proof of Hwang’s theorem on base manifolds of Lagrangian fibrations — Christian Schnell, Benjamin Bakker · Annales de l’institut Fourier (2026) | TGRS Research Map | TGRS