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arXiv · 1708.03566

Automorphism groups of compact complex surfaces

Yuri Prokhorov·Constantin Shramov
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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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Yuri Prokhorov, Constantin Shramov. 2017-08-11. Automorphism groups of compact complex surfaces. https://arxiv.org/abs/1708.03566

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