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Automorphism Groups of Certain Rational Hypersurfaces in Complex Four-Space

Lucy Moser-jauslinPierre-marie PoloniAdrien Dubouloz

subject

Automorphism groupPure mathematics010102 general mathematicsStructure (category theory)Space (mathematics)Automorphism01 natural sciencesContractible spaceAlgebraMathematics::Algebraic GeometryAffine representation0103 physical sciencesAstrophysics::Solar and Stellar Astrophysics010307 mathematical physicsAffine transformation0101 mathematicsVariety (universal algebra)Mathematics

description

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.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-3-319-05681-4_17