English

Automorphism groups of certain rational hypersurfaces in complex four-space

Algebraic Geometry 2013-10-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1309.7363,
  title  = {Automorphism groups of certain rational hypersurfaces in complex four-space},
  author = {Adrien Dubouloz and Lucy Moser-Jauslin and Pierre-Marie Poloni},
  journal= {arXiv preprint arXiv:1309.7363},
  year   = {2013}
}

Comments

To appear in Proceedings of the GABAG2012 conference

R2 v1 2026-06-22T01:35:48.723Z