### Isotropy of virtual Albert forms over function fields of quadrics, by Oleg Izhboldin and Nikita Karpenko

Let phi be a virtual Albert form over a field of characteristic different
from 2, i.e. an anisotropic 6-dimensional quadratic form which remains
anisotropic over the extension of the base field given by the squareroot of
the discriminant. We give a complete description of the quadratic forms psi
such that phi becomes isotropic over the function field of psi. This
completes a series of works of Hoffmann, Laghribi, Leep, and Merkurev where
the question was considered previously.

Oleg Izhboldin <karpenk@math.uni-muenster.de>

Nikita Karpenko <oleg@mpim-bonn.mpg.de>