Automorphism groups of certain rational hypersurfaces in complex four-space

Adrien Dubouloz (1) , Lucy Moser-Jauslin (1) , Pierre-Marie Poloni (2)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 Unibas - Université de Bâle = University of Basel = Basel Universität

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.

Mots clés: automorphisms; exotic structures; contractible complex threefolds; extensions of automorphisms; Makar-Limanov invariant

Domaines: Géométrie algébrique [math.AG]

Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni. Automorphism groups of certain rational hypersurfaces in complex four-space. 2013. ⟨hal-00867238⟩