Petersburg Department of Steklov Institute of Mathematics

PREPRINT 12/1999

THE EQUI-CHARACTERISTIC CASE OF THE GERSTEN CONJECTURE

This preprint was accepted September, 1999
Contact: I. A. Panin

ABSTRACT:
One of the well-known problem in the algebraic $K$-theory
is the Gersten conjecture. The geometric case of this
conjecture was proved by D.~Quillen. The
equi-characteristic case of the conjecture is proved in
this preprint. This covers the result of D.~Quillen.
Actually we use the result of D.~Quillen and certain
results of D.~Popesku and A.~Grothendieck