Yang Li, Valentino Tosatti
Published 2023-08-21Version 1
We give a new proof of a theorem of Hwang, showing that the base of a holomorphic Lagrangian fibration of a compact hyperkahler manifold must be the half-dimensional projective space, provided the base is smooth. Our arguments exploit the differential geometry of the special Kahler metric that exists on the base away from the discriminant locus, and use a recent result of Bakker.
Characteristic foliation on the discriminantal hypersurface of a holomorphic Lagrangian fibration
On almost holomorphic Lagrangian fibrations
On the discriminant locus of a Lagrangian fibration
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