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Symplectic hypersurfaces in the complement of an isotropic submanifold

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Using Donaldson's approximately holomorphic techniques, we construct symplectic hypersurfaces lying in the complement of any given compact isotropic submanifold of a compact symplectic manifold. We discuss the connection with rational convexity results in the Kähler case and various applications.

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Received: 9 January 2001 / Published online: 19 October 2001

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Auroux, D., Gayet, D. & Mohsen, JP. Symplectic hypersurfaces in the complement of an isotropic submanifold. Math Ann 321, 739–754 (2001). https://doi.org/10.1007/s002080100248

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  • DOI: https://doi.org/10.1007/s002080100248

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