Article ID Journal Published Year Pages File Type
4665787 Advances in Mathematics 2014 12 Pages PDF
Abstract

There is a canonical AnAn-fibration from a (2n+1)(2n+1)-dimensional smooth affine quadric YnYn to an (n+1)(n+1)-dimensional punctured affine space XnXn. For each rank r at least n, we construct a nontrivial algebraic vector bundle of rank r   on XnXn with trivial pullback to YnYn. Moreover, we construct continuous families of arbitrarily large dimensional pairwise non-isomorphic rank n   bundles on XnXn with trivial pullbacks to YnYn.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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