32 citations · 82 across the 25 of their papers we have counts for
Showing 2004 · math.AGShow all
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math.AG2004
Cayley groups
Nicole Lemire, Vladimir L. Popov, Zinovy Reichstein
The classical Cayley map, X --> (I_n-X)/(I_n+X), is a birational isomorphism between the special orthogonal group SO_n and its Lie algebra so_n, which is SO_n-equivariant with resp…
math.AG2004
Resolving G-torsors by abelian base extensions
V. Chernousov, Ph. Gille, Z. Reichstein
Let G be a linear algebraic group defined over a field k. We prove that, under mild assumptions on k and G, there exists a finite k-subgroup S of G such that the natural map H^1(K,…
math.AG2004
On the notion of canonical dimension for algebraic groups
G. Berhuy, Z. Reichstein
We define and study a new numerical invariant of an algebraic group action which we call the canonical dimension. We then apply the resulting theory to the problem of computing the…