On complex surfaces diffeomorphic to rational surfaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Dec 1995Embargo end date: 01 Jan 1994 Germany English Publisher:Springer Science and Business Media LLCJournal:Inventiones Mathematicae, volume 120, pages 81-117 (issn: 0020-9910, eissn: 1432-1297,

Copyright policy )Funded by:NSF | Mathematical Sciences: Al...

Authors: Friedman, Robert; Qin, Zhenbo;

doi: 10.1007/bf01241123 , 10.48550/arxiv.alg-geom/9404010

arXiv: alg-geom/9404010

On complex surfaces diffeomorphic to rational surfaces

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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.

34 pages, AMS-TeX

Country

Germany

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Keywords

Surfaces of general type, Geometric Topology (math.GT), a surface of general type can not be diffeomorphic to a rational surface, Article, Mathematics - Algebraic Geometry, Mathematics - Geometric Topology, 510.mathematics, gauge theory, Rational and ruled surfaces, FOS: Mathematics, Families, moduli, classification: algebraic theory, Algebraic Geometry (math.AG), Van de Ven conjecture

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