Deformations of holomorphic Lagrangian fibrations

Abstract:

Let X->P^n be a 2n-dimensional projective holomorphic symplectic manifold admitting a Lagrangian fibration over P^n. We prove that the fibration can be deformed in a codimension one family in the moduli space Def(X) of deformations of X. If the Lagrangian fibration admits a section, we prove that there is a codimension two family of deformations which also preserve the section.

Available as math.AG/0509223 from the e-Print archive.

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This page last modified by Justin Sawon
Monday, 12-Sep-2005 09:59:35 EDT
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