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K-theory and Noncommutative Geometry.pdf

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Parshin’s conjecture revisited 425[6] T. Geisser, M. Levine, The p-part of K-theory of fields in characteristic p, Invent. Math.139 (2000), 459–494.[7] H. Gillet, Homological descent for the K-theory of coherent sheaves, in Algebraic K-theory, number theory, geometry and analysis (Bielefeld, 1982), Lecture Notes in Math.1046, Springer-Verlag, Berlin 1984, 80–103.[8] H. Gillet, C. Soulé, Descent, motives and K-theory, J. Reine Angew. Math. 478 (1996),127–176.[9] U. Jannsen, Mixed motives and algebraic K-theory, Lecture Notes in Math. 1400, Springer-Verlag, Berlin 1990.[10] U. Jannsen, On finite-dimensional motives and Murre’s conjecture, in Algebraic cycles andmotives, Vol. 2, London Math. Soc. Lecture Note Ser. 344, Cambridge University Press,Cambridge 2007, 112–142. finite dimensional motives and Murre’s conjecture, 2006.[11] U. Jannsen, Hasse principles for higher-dimensional fields, Preprint Universität Regensburg18/2004.[12] B. Kahn, Some finiteness results for etale cohomology, J. Number Theory 99 (2003), 57–73.[13] S. Kimura, Chow groups are finite dimensional, in some sense, Math. Ann. 331 (2005),173–201.[14] C. Soulé, Groupes de Chow et K-théorie de variétés sur un corps fini, Math. Ann. 268(1984), 317–345.[15] V. Voevodsky, Motivic cohomology groups are isomorphic to higher Chow groups in anycharacteristic, Internat. Math. Res. Not. 2002 (2002), 351–355.

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