7 citations · 11 across the 4 of their papers we have counts for
4 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…
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…
Projective homogeneous varieties birational to quadrics
Mark L. MacDonald
We will consider an explicit birational map between a quadric and the projective variety X(J) of traceless rank one elements in a simple reduced Jordan algebra J. X(J) is a homogen…
Cohomological invariants of odd degree Jordan algebras
Mark L. MacDonald
In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a sp…