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

2010/12/18 by R. V. Gurjar, Gurjar, R. V., Mariusz Koras +5
Mathematics · #14R20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Primary: 14J17 #Secondary: 14R05

paper · pdf · doi:10.48550/arxiv.1012.4120

openalex publication_date 2010/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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