On stably free modules over affine algebras

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.

Final version. To appear in Publ. Math. IHES

References in corpus (2)

• An exact sequence for Milnor's K-theory with applications to quadratic forms
• Stably free modules over smooth affine threefolds

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