Foliations on hypersurfaces in holomorphic symplectic manifolds

Details Foliations on hypersurfaces in holomorphic symplectic manifolds Foliations on hypersurfaces in holomorphic symplectic manifolds

2008-12-20

arxiv.org/abs/0812.3939v1

Mathematics

Algebraic Geometry

43 pages, 3 figures

Scientific paper

Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold
X. The restriction $\sigma|_Y$ of the holomorphic symplectic form induces a
rank one foliation on Y. We investigate situations where this foliation has
compact leaves; in such cases we obtain a space of leaves Y/F which has
dimension 2n-2 and admits a holomorphic symplectic form.

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