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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 12/1999

I. A. PANIN
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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

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