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Finite groups acting on elliptic surfaces

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Abstract

We show that automorphism groups of Hopf and Kodaira surfaces have unbounded finite subgroups. For elliptic fibrations on Hopf, Kodaira, bielliptic, and K3 surfaces, we make some observations on finite groups acting along the fibers and on the base of such a fibration.

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Acknowledgements

The author is grateful to Sergey Gorchinskiy, Stefan Nemirovski, Yuri Prokhorov, and Egor Yasinsky for useful discussions.

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  1. Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina str., Moscow, Russia, 119991

    Constantin Shramov

  2. National Research University Higher School of Economics, 6 Usacheva str., Moscow, Russia, 119048

    Constantin Shramov

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  1. Constantin Shramov
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Correspondence to Constantin Shramov.

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This work is supported by the Russian Science Foundation under Grant No. 18-11-00121.

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Shramov, C. Finite groups acting on elliptic surfaces. European Journal of Mathematics 8, 1213–1224 (2022). https://doi.org/10.1007/s40879-019-00383-y

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  • DOI: https://doi.org/10.1007/s40879-019-00383-y

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