Immersed spheres in symplectic 4-manifolds (Q1203373)
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scientific article; zbMATH DE number 118272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Immersed spheres in symplectic 4-manifolds |
scientific article; zbMATH DE number 118272 |
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Immersed spheres in symplectic 4-manifolds (English)
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8 February 1993
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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.
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Kähler surfaces
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symplectic 4-manifold
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Kähler structure
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\(J\)- holomorphic embedded spheres
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blow-up
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