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Darboux's theorem in complex symplectic geometry?
Posted:
May 10, 2011 8:55 PM


Is Darboux's theorem still true if we are working with a complex symplectic form on a complex manifold? That is, given a complex manifold X with symplectic form w, for each point x can one always find a local biholomorphism from a neighborhood of x to C^2n with standard symplectic form, such that the biholomorphism preserves the symplectic forms?



