English

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

Algebraic Geometry 2010-12-21 v1

Abstract

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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Cite

@article{arxiv.1012.4120,
  title  = {A homology plane of general type can have at most a cyclic quotient singularity},
  author = {R. V. Gurjar and M. Koras and M. Miyanishi and P. Russell},
  journal= {arXiv preprint arXiv:1012.4120},
  year   = {2010}
}

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63 pages