Work

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

Year: 2026

Type: article

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.

Source: Annales de l’institut Fourier

DOI: 10.5802/aif.3786

Authors: Benjamin Bakker, Christian Schnell

Institutions: University of Illinois Chicago, Stony Brook University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Awards: CAREER: Hodge Theory and Moduli, Higher Multiplier Ideals and Other Applications of Hodge Theory in Algebraic Geometry

OpenAlex ID: W7140845135

FWCI:

Cites: 22

Cited by: 1

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