%0 Journal Article
%T On deformations of Lagrangian fibrations
%A Daisuke Matsushita
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0903.2098v2