A homology plane of general type can have at most a cyclic quotient singularity

Details A homology plane of general type can have at most a cyclic quotient singularity A homology plane of general type can have at most a cyclic quotient singularity

2010-12-18

arxiv.org/abs/1012.4120v1

Mathematics

Algebraic Geometry

63 pages

Scientific paper

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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