Duff: Immersed spheres in symplectic 4-manifolds

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Dusa Mc Duff
Immersed spheres in symplectic 4-manifolds
Annales de l'institut Fourier, 42 no. 1-2 (1992), p. 369-392, doi: 10.5802/aif.1296
Article PDF | Reviews MR 93k:53030 | Zbl 0756.53021

Résumé - Abstract

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.

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