Given a symplectic fibration with compact and symplectic basis and complex projective fibres, we produce symplectic submanifolds of the total space analytic in the vertical direction, and apply this to complex vector bundles on symplectic manifolds.
Paoletti, R. (1999). Symplectic subvarieties of projective fibrations over symplectic manifolds. ANNALES DE L'INSTITUT FOURIER, 49(5), 1661-1672 [10.5802/aif.1733].
Symplectic subvarieties of projective fibrations over symplectic manifolds
PAOLETTI, ROBERTO
1999
Abstract
Given a symplectic fibration with compact and symplectic basis and complex projective fibres, we produce symplectic submanifolds of the total space analytic in the vertical direction, and apply this to complex vector bundles on symplectic manifolds.
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