Dubouloz, Adrien; Poloni, Pierre-Marie (2016). Affine-ruled varieties without the Laurent cancellation property. Bulletin of the London Mathematical Society, 48(5), pp. 822-834. Oxford University Press 10.1112/blms/bdw045
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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.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Poloni, Pierre-Marie |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0024-6093 |
Publisher: |
Oxford University Press |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
11 Jul 2017 16:24 |
Last Modified: |
05 Dec 2022 15:04 |
Publisher DOI: |
10.1112/blms/bdw045 |
BORIS DOI: |
10.7892/boris.97579 |
URI: |
https://boris.unibe.ch/id/eprint/97579 |
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