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arXiv · 0903.2098

On deformations of Lagrangian fibrations

Daisuke Matsushita
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Abstract

Let X be an irreducible symplectic manifold and Def(X) the Kuranishi space. Assume that X admits a Lagrangian fibration. We prove that X can be deformed preserving a Lagrangian fibration. More precisely, there exists a smooth hypersurface H of Def(X) such that the restriction family over H admits a family of Lagrangian fibrations over H.

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Daisuke Matsushita. 2009-03-12. On deformations of Lagrangian fibrations. https://arxiv.org/abs/0903.2098

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