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

2021/02/04 by Abugaliev, Renat
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.02799

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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