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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 241, Pages 169–178 (Mi tm394)  
This article is cited in 18 scientific papers (total in 18 papers)

The Equicharacteristic Case of the Gersten Conjecture

I. A. Panin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (187 kB) Citations (18)
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Abstract: One of the well-known problems in the algebraic $K$-theory is the Gersten conjecture. The geometric case of this conjecture was proved by D. Quillen. The equicharacteristic case of the conjecture is proved in this paper. This covers the result of Quillen. Actually we use the result of Quillen and certain results of D. Popescu and A. Grothendieck.
Received in November 2002
Bibliographic databases:
UDC: 514.7
Language: English
Citation: I. A. Panin, “The Equicharacteristic Case of the Gersten Conjecture”, Number theory, algebra, and algebraic geometry, Collected papers. Dedicated to the 80th birthday of academician Igor' Rostislavovich Shafarevich, Trudy Mat. Inst. Steklova, 241, Nauka, MAIK «Nauka/Inteperiodika», M., 2003, 169–178; Proc. Steklov Inst. Math., 241 (2003), 154–163
Citation in format AMSBIB
\Bibitem{Pan03}
\by I.~A.~Panin
\paper The Equicharacteristic Case of the Gersten Conjecture
\inbook Number theory, algebra, and algebraic geometry
\bookinfo Collected papers. Dedicated to the 80th birthday of academician Igor' Rostislavovich Shafarevich
\serial Trudy Mat. Inst. Steklova
\yr 2003
\vol 241
\pages 169--178
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2024050}
\zmath{https://zbmath.org/?q=an:1115.19300}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 241
\pages 154--163
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