7 citations · 13 across the 5 of their papers we have counts for
6 papers
Essential p-dimension of algebraic groups whose connected component is a torus
Roland Lötscher, Mark MacDonald, Aurel Meyer +1
Following up on our earlier work and the work of N. Karpenko and A. Merkurjev, we study the essential p-dimension of linear algebraic groups G whose connected component G^0 is a to…
A Valuation Theoretic Approach to Essential Dimension
Aurel Meyer
In this essay we explore the notion of essential dimension using the theory of valuations of fields. Given a field extension K/k and a valuation on K that is trivial on k, we prove…
Essential p-dimension of algebraic tori
Roland Lötscher, Mark MacDonald, Aurel Meyer +1
The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenk…
An upper bound on the essential dimension of a central simple algebra
Aurel Meyer, Zinovy Reichstein
We prove a new upper bound on the essential p-dimension of the projective linear group PGLn.
Some consequences of the Karpenko-Merkurjev theorem
Aurel Meyer, Zinovy Reichstein
We use a recent theorem of N. A. Karpenko and A. S. Merkurjev to settle several questions in the theory of essential dimension.
The essential dimension of the normalizer of a maximal torus in the projective linear group
Aurel Meyer, Zinovy Reichstein
Let p be a prime, k be a field of characteristic different from p containing a primitive p-th root of unity and N be the normalizer of the maximal torus in the projective linear gr…