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Contractible affine surfaces with quotient singularities

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Abstract

We consider contractible affine surfaces of negative Kodaira dimension with only quotient singularities. We prove that the smooth locus of such a surface has negative Kodaira dimension. It follows that if such a surface has only one singular point, then it is isomorphic to a quotient C2/G, where G is a finite group acting linearly on C2.

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Authors and Affiliations

  1. Institute of Mathematics, Warsaw University, Warsaw, Poland

    Mariusz Koras

  2. Department of Mathematics, McGill University, Montreal, QC, Canada

    Peter Russell

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  1. Mariusz Koras
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  2. Peter Russell
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Correspondence to Mariusz Koras or Peter Russell.

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Koras, M., Russell, P. Contractible affine surfaces with quotient singularities. Transformation Groups 12, 293–340 (2007). https://doi.org/10.1007/s00031-006-0036-z

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  • DOI: https://doi.org/10.1007/s00031-006-0036-z

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