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 代数几何几何拓扑

作者: Robert Friedman , Zhenbo Qin

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摘要

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.

关键词

del pezzo surfaces algebraic surfaces

引用

@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}
}