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arXiv · 1001.2256

Singular Q-homology planes of negative Kodaira dimension have smooth locus of non-general type

Karol Palka·Mariusz Koras
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Abstract

We continue the program of classification of normal Q-acyclic surfaces defined over the field of complex numbers, so-called 'Q-homology planes'. Here we show that if a Q-homology plane has negative Kodaira dimension then its smooth locus is not of general type. This generalizes an earlier result of Koras-Russell for contractible surfaces.

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Karol Palka, Mariusz Koras. 2011-02-15. Singular Q-homology planes of negative Kodaira dimension have smooth locus of non-general type. https://arxiv.org/abs/1001.2256

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