Abstract - Let X be a holomorphic symplectic manifold and D a smooth hypersurface in X. Then the restriction of the symplectic form on D has one-dimensional kernel at each point. This distribution is called the characteristic foliation. I shall survey a few results concerning the possible Zariski closure of a general leaf of this foliation by myself and Campana, myself and my former student L. Guseva, and more recently by my student R. Abugaliev.
institut,fourier,eem2019,grenoble,foliations and algebraic geometry,feuilletages et géométrie algébraique,birational geometry,surfaces,
Abstract - Let X be a holomorphic symplectic manifold and D a smooth hypersurface in X. Then the restriction of the symplectic form on D has one-dimensional kernel at each point. This distribution is called the characteristic foliation. I shall survey a few results concerning the possible Zariski closure of a general leaf of this foliation by myself and Campana, myself and my former student L. Guseva, and more recently by my student R. Abugaliev.
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