The smooth invariance of the Kodaira dimension of a complex surface
type: Item
instance of: scholarly article
title: The smooth invariance of the Kodaira dimension of a complex surface
zbMATH Open document ID: 0858.57023
author: Zhenbo Qin
author: Robert Friedman
published in: Mathematical Research Letters
publication date: 1997-03-11T00:00:00Z
review text: A proof of the following theorem is outlined: A complex surface of general type cannot be diffeomorphic to a rational surface. This implies that any complex surface diffeomorphic to a rational surface is rational. On the other side, any two diffeomorphic complex surfaces have the same Kodaira dimension, which was conjectured by Van de Ven.
Mathematics Subject Classification ID: 57N13
Mathematics Subject Classification ID: 32J15
zbMATH DE Number: 817702
zbMATH Keywords: minimal surface
zbMATH Keywords: complex surface of general type
zbMATH Keywords: rational surface
zbMATH Keywords: Kodaira dimension
MaRDI profile type: Publication
DOI: 10.4310/MRL.1994.V1.N3.A8
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description: scientific article; zbMATH DE number 817702