Mathematical Research Letters

Volume 7, Issue 4, July 2000 pp. 389-391.

Equidimensionality of Lagrangian fibrations on holomorphic symplectic manifolds

Authors: Daisuke Matsushita
Author institution: Kyoto University

Summary: 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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