Suslin's cancellation conjecture in the smooth case

Jean Fasel (1)

1 IF - Institut Fourier

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.

Domaines: Géométrie algébrique [math.AG]; Topologie algébrique [math.AT]; Algèbre commutative [math.AC]

Jean Fasel. Suslin's cancellation conjecture in the smooth case. 2021. ⟨hal-03470548⟩