Z. Reichstein

activity

19992004

collaborators

9 papers

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.RA2001

Fields of definition for division algebras

Martin Lorenz, Zinovy Reichstein, Louis H. Rowen +1

Let $A$ be a finite-dimensional division algebra containing a base field $k$ in its center $F$ . We say that $A$ is defined over a subfield $F_{0}$ of $F$ if $A = A_{0} \otimes_{F_{0}} F$ …

math.AG2000

A birational invariant for algebraic group actions

Zinovy Reichstein, Boris Youssin

We construct a birational invariant for certain algebraic group actions. We use this invariant to classify linear representations of finite abelian groups up to birational equivale…

math.AG2000

Equivariant Resolution of Points of Indeterminacy

Zinovy Reichstein, Boris Youssin

We prove an equivariant version of Hironaka's theorem on elimination of points of indeterminacy. Our arguments rely on canonical resolution of singularities.

math.RA2000

Lattices and Parameter Reduction in Division Algebras

Martin Lorenz, Zinovy Reichstein

Let k be an algebraically closed field of characteristic 0 and let D be a division algebra whose center F contains k. We shall say that D can be reduced to r parameters if D = D_0…

math.AG1999

On a property of special groups

Zinovy Reichstein, Boris Youssin

Let G be an algebraic group defined over an algebraically closed field k of characteristic zero. We give a simple proof of the following result: if H^1(L, G) = {1} for some finitel…