On deformations of Lagrangian fibrations
Algebraic Geometry
2015-06-11 v2 Differential Geometry
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.
Cite
@article{arxiv.0903.2098,
title = {On deformations of Lagrangian fibrations},
author = {Daisuke Matsushita},
journal= {arXiv preprint arXiv:0903.2098},
year = {2015}
}