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Algebraic cycles and the Lie algebra of mixed Tate motives
Author(s):
Spencer
Bloch
Journal:
J. Amer. Math. Soc.
4
(1991),
771-791.
MSC:
Primary 14C25;
Secondary 11G09, 14A20, 14F99, 17B10
MathSciNet review:
1102577
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Additional information
References:
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- A. A. Beilinson, Polylogarithm and cyclotomic elements, preprint.
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- A. A. Beilinson, A. B. Goncharov, V. V. Schechtman, and A. N. Varchenko, Aomoto dilogarithms, mixed Hodge structures and motivic cohomology of pairs of triangle on the plane, The Grothendieck Festschrift, Vol. I, Progr. in Math., vol. 86, Birkhäuser, Boston, 1990. MR 1086885 (92h:19007)
- [3]
- P. Deligne, Interprétation motivique de la conjecture de Zagier reliant polylogarithmes et régulateurs, preprint.
- [4]
- -, Le groupe fondamental de la droite projective moins trois points, preprint.
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 -theory of fields, and Dedekind zeta-functions, Bull. Amer. Math. Soc. (N.S.) 24 (1991), 155-162. MR 1056557 (91g:11137) - [6]
- J. Morgan, The algebraic topology of smooth algebraic varieties, Inst. Hautes Études. Sci. Publ. Math. 48 (1978), 137-204. MR 516917 (80e:55020)
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- D. Sullivan, Infintiesimal calculations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977), 269-331. MR 0646078 (58:31119)
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- S. Bloch, Algebraic cycles and higher
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- -, Algebraic
 -theory, motives, and algebraic cycles, Proc. Internat. Congr. Math. (Kyoto, 1990) (to appear). - [10]
- P. Deligne and J. S. Milne, Tannakian categories, Hodge cycles, Motives, and Shimura Varieties, Lecture Notes in Math., vol. 900, Springer-Verlag, Berlin, 1982. MR 654325 (84m:14046)
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- B. Totaro, Thesis, Univ. of Calif. at Berkeley, 1990.
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MSC:
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MSC:
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Additional Information:
DOI:
10.1090/S0894-0347-1991-1102577-2
PII:
S0894-0347-1991-1102577-2
Copyright of article:
Copyright
1991,
American Mathematical Society
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