arXiv math/05092042005-09math.SGmath.AGmath.GT

Minimality and irreducibility of symplectic four-manifolds

M. J. D. Hamilton, D. Kotschick

备注：: final version; cosmetic changes only; to appear in International Mathematics Research Notices
发表信息：: International Mathematics Research Notices 2006 (2006), Article ID 35032, 13 pages.
DOI：: 10.1155/IMRN/2006/35032

英文摘要：

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.

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