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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…