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Topic: Darboux's theorem in complex symplectic geometry?
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Posts: 22
Registered: 9/15/07
Darboux's theorem in complex symplectic geometry?
Posted: May 10, 2011 8:55 PM
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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?

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