A homology plane of general type can have at most a cyclic quotient singularity
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cyclicgeneraltypehomologyplanepointquotientsingular
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We show that a homology plane of general type has at worst a single cyclic quotient singular point. An example of such a surface with a singular point does exist. We also show that the automorphism group of a smooth contractible surface of general type is cyclic.
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