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Automorphism groups of compact complex surfaces

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arxiv 1708.03566 v5 pith:UFKIMMTL submitted 2017-08-11 math.AG

Yuri Prokhorov , Constantin Shramov This is my paper · ORCID
classification math.AG
keywords automorphismbirationalgroupscompactcomplexgroupjordansurfaces
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abstract

We study automorphism groups and birational automorphism groups of compact complex surfaces. We show that the automorphism group of such surface $X$ is always Jordan, and the birational automorphism group is Jordan unless $X$ is birational to a product of an elliptic and a rational curve.

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Cited by 1 Pith paper

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  1. Fiberwise bimeromorphic maps of conic bundles

    math.AG 2019-08 conditional novelty 6.0 of 10

    Finite fiberwise bimeromorphic group actions on holomorphic conic bundles without degree-one divisors are always subgroups of Z/2Z times Z/2Z.

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