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Aug 17, 2011 at 20:43 history deleted J.C. Ottem
Aug 17, 2011 at 20:35 comment added Henri Maybe this is trivial, but I don't see why $L$ is ample and not only big.
Aug 17, 2011 at 20:31 comment added J.C. Ottem Good point. Above I assumed that $\Sigma$ is the zero-set of a global section of $L$.
Aug 17, 2011 at 20:04 comment added Thom Thank you. Can I apply Lefschetz hyperplane theorem if it is not known $L$ can be represented by a complex submanifold? All I know is my $\Sigma_k$ is a symplectic submanifold of $X$.
Aug 17, 2011 at 19:44 history answered J.C. Ottem CC BY-SA 3.0