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E. Amerik - On the characteristic foliation

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Ekaterina Amerik
  • Function : Author
  • PersonId : 839515
Fanny Bastien
Donovan Humphries
  • Function : Director

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.

Dates and versions

medihal-02274561 , version 1 (30-08-2019)

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Attribution - NonCommercial - NoDerivatives

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  • HAL Id : medihal-02274561 , version 1

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Ekaterina Amerik, Fanny Bastien, Donovan Humphries. E. Amerik - On the characteristic foliation: Summer School 2019 - Foliations and algebraic geometry. 2019. ⟨medihal-02274561⟩
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