Immersed spheres in symplectic 4-manifolds
type: Item
instance of: scholarly article
title: Immersed spheres in symplectic 4-manifolds
zbMATH Open document ID: 0756.53021
author: Dusa McDuff
publication date: 1993-02-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74958
review text: 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.
reviewed by: Dusa McDuff
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 118272
zbMATH Keywords: Kähler surfaces
zbMATH Keywords: symplectic 4-manifold
zbMATH Keywords: Kähler structure
zbMATH Keywords: \(J\)- holomorphic embedded spheres
zbMATH Keywords: blow-up
MaRDI profile type: Publication
OpenAlex ID: W2486133752
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DOI: 10.5802/AIF.1296
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 118272