On the cancellation problem for algebraic tori - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annales de l'Institut Fourier Année : 2016

On the cancellation problem for algebraic tori

Résumé

We address a variant of Zariski Cancellation Problem, asking whether two varieties which become isomorphic after taking their product with an algebraic torus are isomorphic themselves. Such cancellation property is easily checked for curves, is known to hold for smooth varieties of log-general type by virtue of a result of Iitaka-Fujita and more generally for non $\mathbb{A}^1_*$-uniruled varieties. We show in contrast that for smooth affine factorial $\mathbb{A}^1_*$-ruled varieties, cancellation fails in any dimension bigger than or equal to two.
Fichier principal
Vignette du fichier
ToriCancel.pdf (228.36 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01075315 , version 1 (17-10-2014)

Identifiants

Citer

Adrien Dubouloz. On the cancellation problem for algebraic tori. Annales de l'Institut Fourier, 2016, 66 (6), pp.2621-2640. ⟨10.5802/aif.3073⟩. ⟨hal-01075315⟩
225 Consultations
106 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More