Minimality and irreducibility of symplectic four-manifolds

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We prove that all minimal symplectic four-manifolds are essentially irreducible. We also clarify the relationship between holomorphic and symplectic minimality of Kähler surfaces. This leads to a new proof of the deformation-invariance of holomorphic minimality for complex surfaces with even first Betti number which are not Hirzebruch surfaces.
final version; cosmetic changes only; to appear in International Mathematics Research Notices

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Symplectic Geometry, Algebraic Geometry, Geometric Topology, 57R17; 57R57; 32J15

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http://salesiana.dossiersoluciones.com/handle/123456789/102247

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509204
 http://arxiv.org/abs/math/0509204
 International Mathematics Research Notices 2006 (2006), Article ID 35032, 13 pages.
 doi:10.1155/IMRN/2006/35032

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arXiv