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On stably free modules over affine algebras
stably free modules affine algebras Grothendieck-Witt groups symplectic Witt groups
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2011/8/25
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.
On Stably free modules over Laurent polynomial rings
Stably free modules Hermite rings Unimodular rows
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2011/2/21
We prove constructively that for any finite-dimensional commu-tative ring R and n dim(R) + 2, the group En(R[X,X−1]) acts transitively on Umn(R[X,X−1]). In particular, we obtain that for...