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Base manifolds for Lagrangian fibrations on hyperkähler manifolds

Published 15 Mar 2013 in math.AG | (1303.3919v2)

Abstract: 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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