Abstract
Let X be an irreducible symplectic manifold and Def(X) be the Kuranishi family. 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 χ ×Def(X) H admits a family of Lagrangian fibrations over H.
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© 2016 Springer International Publishing Switzerland
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Matsushita, D. (2016). On Deformations of Lagrangian Fibrations. In: Faber, C., Farkas, G., van der Geer, G. (eds) K3 Surfaces and Their Moduli. Progress in Mathematics, vol 315. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-29959-4_9
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DOI: https://doi.org/10.1007/978-3-319-29959-4_9
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-29958-7
Online ISBN: 978-3-319-29959-4
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