English

Suslin's cancellation conjecture in the smooth case

Algebraic Geometry 2024-12-11 v2 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.2111.13088,
  title  = {Suslin's cancellation conjecture in the smooth case},
  author = {Jean Fasel},
  journal= {arXiv preprint arXiv:2111.13088},
  year   = {2024}
}

Comments

39 pages. Final version

R2 v1 2026-06-24T07:52:06.796Z