Petersburg Department of Steklov Institute of Mathematics

PREPRINT 23/1998


K. ZAINOULLINE

ON A GROTHENDIECK CONJECTURE ABOUT PRINCIPAL HOMOGENEOUS SPACES FOR SPECIAL UNITARY GROUP

This preprint was accepted November 11, 1998
Contact: K. ZAINOULLINE

ABSTRACT: 
 
The goal of this paper is to introduce some applications and consequences 
of the injectivity of the map $\f(R) \ra \f(K)$ induced by the canonical inclusion
of a local regular ring $R$ of geometric type to its field of fractions $R \hra{} K$,
where $\f$ is a homotopy invariant functor with transfers.
In particular, we get an original proof of a Grothendieck Conjecture about principal
homogeneous spaces for Special Unitary group.




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