2111.13088Nov 25, 202139 pages. Final version

Suslin's cancellation conjecture in the smooth case

Jean Fasel

Abstract

We prove that stably isomorphic vector bundles of rank d-1 on a smooth affine d-fold X over an algebraically closed field k are indeed isomorphic, provided d! is invertible in k. This answers an old conjecture of Suslin.

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Suslin's cancellation conjecture in the smooth case

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