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arXiv · 1303.3919

Base manifolds for Lagrangian fibrations on hyperkähler manifolds

Daniel Greb·Christian Lehn
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Abstract

We show that the base manifold of a Lagrangian fibration on a hyperkähler manifold is isomorphic to complex projective space. This generalises a theorem of J.-M. Hwang to the Kähler case.

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Daniel Greb, Christian Lehn. 2013-06-05. Base manifolds for Lagrangian fibrations on hyperkähler manifolds. https://doi.org/10.1093/imrn%2Frnt133

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