Affine varieties with stably trivial algebraic vector bundles

Jelonek, Zbigniew

doi:10.1090/S0002-9939-10-10401-8

Affine varieties with stably trivial algebraic vector bundles
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by Zbigniew Jelonek PDF

Proc. Amer. Math. Soc. 138 (2010), 3105-3109 Request permission

Abstract:

Let $k$ be an algebraically closed field. For every affine variety $X$ with dim $X\ge 7$ we construct a smooth affine variety $Y$ which is birationally equivalent to $X$ and which possesses a stably trivial but not trivial algebraic vector bundle. We give some application of this fact to the cancellation problem.

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