Mathematical Research Letters

Volume 7 (2000)

Number 4

Equidimensionality of Lagrangian fibrations on holomorphic symplectic manifolds

Pages: 389 – 391

DOI: http://dx.doi.org/10.4310/MRL.2000.v7.n4.a4

Author

Daisuke Matsushita (Kyoto University)

Abstract

We prove that every irreducible component of every fibre of Lagrangian fibrations on holomorphic symplectic manifolds is a Lagrangian subvariety. Especially, Lagrangian fibrations are equidimensional.

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