Abstract : We show that all complements of cuspidal hyperplane sections of smooth projective cubic surfaces have isomorphic A(2)-cylinders. As a consequence, we derive that the A(2)-cancellation problem fails in every dimension greater than or equal to 2.
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02166793
Contributeur : Imb - Université de Bourgogne
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Soumis le : jeudi 27 juin 2019 - 10:56:22
Dernière modification le : jeudi 4 juillet 2019 - 15:05:50
Adrien Dubouloz. Affine surfaces with isomorphic $\mathbb{A}^{2}$-cylinders. Kyoto Journal of Mathematics, Duke University Press, 2019, 59 (1), pp.181-193. ⟨10.1215/21562261-2018-0005⟩. ⟨hal-02166793⟩
