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| HAL : hal-00476471, version 1 |
| arXiv : 1004.4723 |
| Fiche détaillée |  Récupérer au format |
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| Non cancellation for smooth contractible affine threefolds |
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| Adrien Dubouloz 1Lucy Moser-Jauslin 1 |
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| (26/04/2010) |
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| We construct two non isomorphic contractible affine threefolds X and Y with isomorphic cylinders, showing that the generalized Cancellation Problem has a negative answer in general for contractible affine threefolds. We also establish that X and Y are actually biholomorphic as complex analytic varieties, providing the first example of a pair of biholomorphic but not isomorphic exotic affine 3-spaces. |
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| 1 : | Institut de Mathématiques de Bourgogne (IMB) |
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CNRS : UMR5584 – Université de Bourgogne |
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| 2 : | Mathematik Institut Basel |
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Universität Basel |
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| Domaine | : | Mathématiques/Géométrie algébrique |
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| Cancellation Problem – contractible affine threefolds – exotic affine spaces |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00476471, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00476471 | |
| oai:hal.archives-ouvertes.fr:hal-00476471 | |
| Contributeur : Adrien Dubouloz | |
| Soumis le : Lundi 26 Avril 2010, 15:04:58 | |
| Dernière modification le : Mardi 27 Avril 2010, 08:36:16 | |
