### On Grothendieck's Conjecture about Principal Homogeneous Spaces for some Classical Algebraic Groups, by Kirill Zainoulline

In the present paper we investigate the question about
the injectivity of the map F(R) --> F(K) induced by the
canonical inclusion of a local regular ring of geometric
type R to its field of fractions K for a homotopy
invariant functor F with transfers satisfying some additional properties.

As an application we get the original proof of Special Unitary Case
of Grothendieck's conjecture about principal homogeneous spaces and
some other interesting examples.

Kirill Zainoulline <kirill@pdmi.ras.ru>