Showing papers by "Zinovy Reichstein published in 2010"
TL;DR: In this paper, the essential dimension of the spinor group Spinn grows exponentially with n and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more complex, in high dimensions, than previously expected.
Abstract: We prove that the essential dimension of the spinor group Spinn grows exponentially with n and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more complex, in high dimensions, than previously expected.
39 citations
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TL;DR: In this article, the main result is a classification of semisimple (and under certain assumptions on k, of connected) toric-friendly groups over a field k.
Abstract: Let G be a connected linear algebraic group over a field k. We say that G is toric-friendly if for any field extension K/k and any maximal K-torus T in G the group G(K) has only one orbit in (G/T)(K). Our main result is a classification of semisimple (and under certain assumptions on k, of connected) toric-friendly groups.
2 citations