Automorphism groups of compact complex surfaces
classification
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keywords
automorphismbirationalgroupscompactcomplexgroupjordansurfaces
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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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