Base manifolds for Lagrangian fibrations on hyperk\"ahler manifolds
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🧮 math.AG
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ahlerbasehyperklagrangianmanifoldmanifoldscasecomplex
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We show that the base manifold of a Lagrangian fibration on a hyperk\"ahler manifold is isomorphic to complex projective space. This generalises a theorem of J.-M. Hwang to the K\"ahler case.
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