Automorphism groups of certain rational hypersurfaces in complex four-space

2013/09/27 by Adrien Dubouloz, Lucy Moser-Jauslin, Dubouloz, Adrien +3
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · doi:10.48550/arxiv.1309.7363

openalex publication_date 2013/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Automorphism groups of Koras-Russell threefolds of the first kind
• Inequivalent embeddings of the Koras-Russell cubic threefold
• The cylinder over the Koras-Russell cubic threefold has a trivial Makar-Limanov invariant
• Russell's hypersurface from a geometric point of view
• Automorphism groups of Koras-Russell threefolds of the second kind