Affine-ruled varieties without the Laurent cancellation property

BORIS DOI
Publisher DOI
Description
We describe a method to construct hypersurfaces of the complex affine n-space with isomorphic C*-cylinders. Among these hypersurfaces, we find new explicit counterexamples to the Laurent cancellation problem, that is, hypersurfaces that are nonisomorphic, although their C*-cylinders are isomorphic as abstract algebraic varieties. We also provide examples of nonisomorphic varieties X and Y with isomorphic Cartesian squares X×X and Y×Y.
Date of Publication
2016
Publication Type
Article
Subject(s)
Language(s)
en
Contributor(s)
Dubouloz, Adrien
Additional Credits
Series
Bulletin of the London Mathematical Society
Publisher
Oxford University Press
ISSN
0024-6093
Access(Rights)
open.access
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