Displaying similar documents to “Holomorphic flows and complex structures on products of odd dimensional spheres.”

Immersed spheres in symplectic 4-manifolds

Dusa McDuff (1992)

Annales de l'institut Fourier

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We discuss conditions under which a symplectic 4-manifold has a compatible Kähler structure. The theory of J -holomorphic embedded spheres is extended to the immersed case. As a consequence, it is shown that a symplectic 4-manifold which has two different minimal reductions must be the blow-up of a rational or ruled surface.