2 papers
math.RA2021
The Allison-Faulkner construction of
Victor Petrov, Simon W. Rigby
We show that the Tits index cannot be obtained by means of the Tits construction over a field with no odd degree extensions. We construct two cohomological invariants,…
math.AG2012
Rationally isotropic exceptional projective homogeneous varieties are locally isotropic
Ivan Panin, Victor Petrov
Assume that R is a local regular ring containing an infinite perfect field, or that R is the local ring of a point on a smooth scheme over an infinite field. Let K be the field of…