Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665787 | Advances in Mathematics | 2014 | 12 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Brent Doran, Jun Yu,