Automorphism groups of certain rational hypersurfaces in complex four-space

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.

arXiv commentTo appear in Proceedings of the GABAG2012 conference