32 citations · 39 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Parusiński's "Key Lemma" via algebraic geometry
Zinovy Reichstein, Boris Youssin
The following ``Key Lemma'' plays an important role in Parusinski's work on the existence of Lipschitz stratifications in the class of semianalytic sets: For any positive integer n…
Splitting fields of G-varieties
Zinovy Reichstein, Boris Youssin
Let be an algebraic group, a generically free -variety, and . A field extension of is called a splitting field of if the image of the class of …
Essential dimensions of algebraic groups and a resolution theorem for G-varieties
Zinovy Reichstein, Boris Youssin, János Kollár +1
Let G be an algebraic group and let X be a generically free G-variety. We show that X can be transformed, by a sequence of blowups with smooth G-equivariant centers, into a G-varie…