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arXiv · 0812.3939

Foliations on hypersurfaces in holomorphic symplectic manifolds

Justin Sawon
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Abstract

Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold X. The restriction $σ|_Y$ 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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Justin Sawon. 2008-12-20. Foliations on hypersurfaces in holomorphic symplectic manifolds. https://arxiv.org/abs/0812.3939

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