On complex surfaces diffeomorphic to rational surfaces

Abstract

In this paper we prove that no complex surface of general type is diffeomorphic to a rational surface, thereby completing the smooth classification of rational surfaces and the proof of the Van de Ven conjecture on the smooth invariance of Kodaira dimension.

34 pages, AMS-TeX

Cited by in corpus (13)

• Algebraic surfaces and Seiberg-Witten invariants
• Sheaves on Toric Varieties for Physics
• Kahler Cone Substructure
• The canonical class and the $C^{\infty }$ properties of Kähler surfaces
• Four-dimensional compact solvmanifolds with and without complex analytic structures
• Les Invariants de Seiberg-Witten et la Conjecture de Van De Ven
• There Exist Nontrivial Threefolds with Vanishing Hodge Cohomology
• Equivariant Sheaves
• On the $D$-dimension of a certain type of threefolds
• From Smooth to Almost Complex
• On threefolds without nonconstant regular functions
• Hodge Cohomology Criteria For Affine Varieties
• Some glueing formulas for spin polynomials and a proof of the Van de Ven conjecture