On complex surfaces diffeomorphic to rational surfaces

Robert Friedman; Zhenbo Qin

doi:10.1007/BF01241123

On complex surfaces diffeomorphic to rational surfaces

alg-geom 2009-10-22 v1 Algebraic Geometry Geometric Topology

Authors: Robert Friedman , Zhenbo Qin

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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.

Keywords

del pezzo surfaces algebraic surfaces

Cite

@article{arxiv.alg-geom/9404010,
  title  = {On complex surfaces diffeomorphic to rational surfaces},
  author = {Robert Friedman and Zhenbo Qin},
  journal= {arXiv preprint arXiv:alg-geom/9404010},
  year   = {2009}
}