53 citations · 322 across the 36 of their papers we have counts for
7 papers · 1 filter
On the number of generators of ideals in polynomial rings
Jean Fasel
Let be a smooth affine algebra over an infinite perfect field . Let be an ideal, a surjective homomorphism and $Q_{2n}\subset \mathbb{A}^…
Mennicke symbols, K-cohomology and a Bass-Kubota theorem
Jean Fasel
If A is a smooth algebra of dimension d (greater or equal to 2) over a perfect field k of characteristic different from 2, then we show that the universal Mennicke symbol of length…
On stably free modules over affine algebras
Jean Fasel, Richard G. Swan, Ravi A. Rao
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.
A degree map on unimodular rows
Jean Fasel
We associate to any endomorphism of the punctured affine space over some field an element in the Witt group of the base field that we call degree. We use this degree to give a coun…
Stably free modules over smooth affine threefolds
Jean Fasel
We prove that the stably free modules over a smooth affine threefold over an algebraically closed field of characteristic different from 2 are free.
Projective modules over the real algebraic sphere of dimension 3
Jean Fasel
We show that all the projective modules over the coordinate ring of the real algebraic sphere of dimension 3 are free
Some remarks on orbit sets of unimodular rows
Jean Fasel
We give a cohomological interpretation of orbit sets of unimodular rows of length d+1 over smooth algebras of Krull dimension d.