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E. Amerik - On the characteristic foliation


Ekaterina Amerik
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Fanny Bastien
Donovan Humphries
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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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medihal-02274561 , version 1 (30-08-2019)


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  • HAL Id : medihal-02274561 , version 1


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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