Abstract

We show that if a singular Q-homology plane has negative Kodaira dimension then its smooth locus is not of general type. This generalizes the earlier result of Koras-Russell for contractible surfaces. 1. Main result We work in the category of complex algebraic varieties. Let S 0 be a singular normal surface having rational cohomology of a plane C 2 , i.e. H � (S 0 ;Q) � Q. We call S 0 a singular Q-homology plane. One of the basic invariants of S 0 is its logarithmic Kodaira dimension �(S 0 ) 2 f−1 ;0;1;2g, having the property �(S 0 −SingS 0 ) � �(S 0 ). In this paper we continue the program of classification

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