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Is there any theorem characterizing those sypmlectic manifolds that can be embedded symplectically in projective space equipped with Fubini-Study symplectic form?

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Why is this community wiki? – Igor Rivin Feb 26 '12 at 6:15
You should also see this mathoverflow question:… – Sam Lisi Feb 26 '12 at 11:07

According to this paper:, it is a theorem of Gromov and Tischler (op cit) that EVERY compact symplectic manifold is a symplectic submanifold of complex projective space.

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(Every compact symplectic manifold with integral symplectic class, that is.) – Tim Perutz Feb 26 '12 at 17:28
Thanks Tim, what about the symplectic orbifolds. I mean is there an embedding theorem for them in some suitable weighted progective spaces? – Hamed Aug 8 '13 at 19:10

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