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2012

Families of Lagrangian fibrations on hyperkaehler manifolds

Kamenova, Ljudmila, Verbitsky, Misha

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A holomorphic Lagrangian fibration on a holomorphically symplectic manifold is a holomorphic map with Lagrangian fibers.

It is known that a given compact manifold admits only finitely many holomorphic symplectic structures, up to deformation.
We prove that a given compact manifold with $b_2 \geq 7$ admits only finitely many deformation types of holomorphic Lagrangian fibrations.
We also prove that all known hyperkahler manifolds are never Kobayashi hyperbolic.

Families of Lagrangian fibrations on hyperkaehler manifolds · Around

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Serre, J.-P.,
1970
Earlier work this paper cites.
Bogomolov, F. A.,
1974
Earlier work this paper cites.
F. Bogomolov,
1978
Earlier work this paper cites.
V. V. Nikulin,
1980
Earlier work this paper cites.
R. Harvey, B. Lawson,
1982
Earlier work this paper cites.
Beauville, A
1983
Earlier work this paper cites.
Besse, A.,
1987
Earlier work this paper cites.
Fujiki, A
1987
Earlier work this paper cites.
S. Lang,
1987
Earlier work this paper cites.

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