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

Published 15 Nov 2023 in math.AG | (2311.08977v1)

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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