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Finite groups acting on elliptic surfaces

  • Constantin ShramovEmail author
Research Article
  • 19 Downloads

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.

Keywords

Elliptic surface Hopf surface Kodaira surface Automorphism group 

Mathematics Subject Classification

14J50 

Notes

Acknowledgements

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

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of Russian Academy of SciencesMoscowRussia
  2. 2.National Research University Higher School of EconomicsMoscowRussia

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