English

On stably free modules over affine algebras

Commutative Algebra 2012-09-27 v2

Abstract

We prove that stably free modules of rank d-1 over a smooth affine algebra of dimension d over an algebraically closed field k are free, provided (d-1)! is nonzero in k.

Keywords

Cite

@article{arxiv.1107.1051,
  title  = {On stably free modules over affine algebras},
  author = {Jean Fasel and Richard G. Swan and Ravi A. Rao},
  journal= {arXiv preprint arXiv:1107.1051},
  year   = {2012}
}

Comments

Final version. To appear in Publ. Math. IHES

R2 v1 2026-06-21T18:32:44.517Z