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- W2148789982 abstract "A holomorphic Lagrangian fibration on a holomorphically symplectic manifold is a holomorphic map with Lagrangian fibers. It is known (due to Huybrechts) that a given compact manifold admits only finitely many holomorphic symplectic structures, up to deformation. We prove that a given compact, simple hyperkähler manifold with b2⩾7 admits only finitely many deformation types of holomorphic Lagrangian fibrations. We also prove that all known hyperkähler manifolds are never Kobayashi hyperbolic." @default.
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- W2148789982 date "2014-08-01" @default.
- W2148789982 modified "2023-10-15" @default.
- W2148789982 title "Families of Lagrangian fibrations on hyperkähler manifolds" @default.
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- W2148789982 doi "https://doi.org/10.1016/j.aim.2013.10.033" @default.
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