Automorphism Groups of Certain Rational Hypersurfaces in Complex Four-Space

  • Adrien DuboulozEmail author
  • Lucy Moser-Jauslin
  • Pierre-Marie Poloni
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 79)


The Russell cubic is a smooth contractible affine complex threefold which is not isomorphic to affine three-space. In previous articles, we discussed the structure of the automorphism group of this variety. Here we review some consequences of this structure and generalize some results to other hypersurfaces which arise as deformations of Koras–Russell threefolds.



This research was supported in part by the ANR Grant BirPol ANR-11-JS01-004-01.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Adrien Dubouloz
    • 1
    Email author
  • Lucy Moser-Jauslin
    • 1
  • Pierre-Marie Poloni
    • 2
  1. 1.Institut de Mathématiques de Bourgogne, UMR 5584 du CNRSUniversité de BourgogneDijonFrance
  2. 2.Mathematisches InstitutUniversität BaselBaselSwitzerland

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