53 citations · 322 across the 36 of their papers we have counts for
4 papers · 1 filter
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…
Trivial Witt groups of flag varieties
Baptiste Calmés, Jean Fasel
Let G be a split semi-simple linear algebraic group over a field, let P be a parabolic subgroup and let L be a line bundle on the projective homogeneous variety G/P. We give a simp…