The equi-characteristic case of the Gersten conjecture, by Ivan Panin
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. Popescu and A. Grothendieck.
Ivan Panin <panin@pdmi.ras.ru>