Vol. 2, No. 2, 2017

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Motivic complexes over nonperfect fields

Andrei Suslin

Vol. 2 (2017), No. 2, 277–302

We show that the theory of motivic complexes developed by Voevodsky over perfect fields works over nonperfect fields as well provided that we work with sheaves with transfers of [1p]-modules (p = charF). In particular we show that every homotopy invariant sheaf with transfers of [1p]-modules is strictly homotopy invariant.

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motivic cohomology, nonperfect fields
Mathematical Subject Classification 2010
Primary: 19E15
Secondary: 14F42
Received: 30 September 2015
Revised: 23 December 2015
Accepted: 12 January 2016
Published: 14 December 2016
Andrei Suslin
Department of Mathematics
Northwestern University
2033 Sheridan Road
Evanston, IL 60208
United States