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arXiv · 2102.02799

Characteristic foliation on hypersurfaces with positive Beauville-Bogomolov-Fujiki square

Renat Abugaliev
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Abstract

Let $Y$ be a smooth hypersurface in a projective irreducible holomorphic symplectic manifold X of dimension 2n. The characteristic foliation $F$ is the kernel of the symplectic form restricted to Y. In this article we prove that a generic leaf of the characteristic foliation is dense in Y if Y has positive Beauville-Bogomolov-Fujiki square.

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Renat Abugaliev. 2021-02-04. Characteristic foliation on hypersurfaces with positive Beauville-Bogomolov-Fujiki square. https://arxiv.org/abs/2102.02799

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