Choisissez le fuseau horaire
Le fuseau horaire de votre profil:
The generalized Serre question asks whether algebraic vector bundles over topologically contractible smooth affine complex varieties are always trivial. The question has been answered in the affirmative in dimensions 1 and 2 and general classification results for vector bundles over threefolds yield a necessary and sufficient criterion in dimension 3. In this talk, I will explain a sufficient criterion for the triviality of all vector bundles over smooth affine complex fourfolds. Assuming a conjecture by Asok-Østvær, this criterion would imply that vector bundles over topologically contractible smooth affine complex fourfolds are trivial.