Deformations of holomorphic Lagrangian fibrations
نویسنده
چکیده
Let X → Pn be a 2n-dimensional projective holomorphic symplectic manifold admitting a Lagrangian fibration over Pn. Matsushita proved that the fibration can be deformed in a codimension one family in the moduli space Def(X) of deformations of X. We extend his result by proving that if the Lagrangian fibration admits a section, then there is a codimension two family of deformations which also preserve the section.
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