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Book Review

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Book Information

Author(s): Vladimir Voevodsky, Andrei Suslin and Eric M. Friedlander
Title: Cycles, transfers, and motivic homology theories
Additional book information: Annals of Mathematics Studies, No. 143, Princeton Univ. Press, Princeton, NJ, 2000, 254, $24.95, 0-691-04815-0 (paperback)

References:

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A. Beilinson, Letter to Soulé, 1/11/1982.

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P. Deligne, Théorie de Hodge II et III, Publ. Math. IHES 40 (1972), 5-57; 44 (1974), 5-77. MR 58:16653a; MR 58:16653b

[Dz]
M. Demazure, Motifs de varietés algébriques, Sem. Bourbaki, vol. 365, 1969.

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E. M. Friedlander and B. Lawson, Moving algebraic cycles of bounded degree, Invent. Math. 132 (1998), 91-119. MR 99k:14011

[Fr]
P.J. Freyd, Abelian categories, Harper and Row, 1964. MR 29:3517

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A. Grothendieck, Standard Conjectures on algebraic cycles, Algebraic Geometry - Bombay Colloquium, Oxford Univ. Press, 1969, pp. 193-199. MR 42:3088

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M. Levine, Mixed Motives, AMS, 1998. MR 99i:14025

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S. Lichtenbaum, Values of zeta-functions at non-negative integers, Lecture Notes in Math., vol. 1068, Springer-Verlag, 1984, pp. 127-138. CMP 16:17

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S. Kleiman, Motives, Algebraic Geometry, Oslo 1970 (F. Oort, ed.), Wolters-Noordhoff, 1972, pp. 53-82. MR 52:3152

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Motives (U. Jannsen, S. Kleiman and J.-P. Serre, eds.), Proc. Symp. Pure Math., vol. 55, AMS, 1994. MR 94i:11004

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Ju. I. Manin, Correspondences, Motifs and Monoidal Transformations, Math. Sbornik AMS Transl. 6 (1968), 439-470 (Russian). MR 41:3482

[Q]
D. Quillen, Higher algebraic $K$-theory: I, Lecture Notes in Math., vol. 341, Springer-Verlag, 1973, pp. 85-147. MR 49:2895

[S]
J.-P. Serre, Motifs, Journées Arithmétiques de Luminy (1989) (G. Lachaud, ed.), Astérisque, vol. 198-200, Soc. Math. France, 1991, pp. 333-349. MR 92m:14002

[Sh]
Richard Shiff, Sensation, movement, Cezanne, Classic Cezanne (Terence Maloon, ed.), Sydney, 1998, pp. 13-27.

[SV]
A. Suslin and V. Voevodsky, Bloch-Kato conjecture and motivic cohomology with finite coefficients, The Arithmetic and Geometry of Algebraic Cycles, NATO Science Series C, vol. 548, Kluwer, 2000, pp. 117-189. MR 2001g:14031

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Additional Information:

Reviewer(s):
Charles A. Weibel
Affiliation: Rutgers University
Email: weibel@math.rutgers.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 39 (2002), 137-143.

MSC (2000): Primary 14F42; Secondary 19E15
DOI: 10.1090/S0273-0979-01-00930-2
PII: S 0273-0979(01)00930-2
Posted: October 12, 2001
Additional notes: Weibel was partially supported by NSF grant DMS98-01560
Copyright of article: Copyright 2001, American Mathematical Society

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