%0 Journal Article %T On stably free modules over affine algebras %A Jean Fasel %A Richard G. Swan %A Ravi A. Rao %J Mathematics %D 2011 %I arXiv %R 10.1007/s10240-012-0041-y %X 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. %U http://arxiv.org/abs/1107.1051v2