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>