Groupes fondamentaux motiviques de Tate mixte

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1. [1] Bass H., Generators and relations for cyclotomic units, Nagoya Math. J.27 (1966) 401-407. Zbl0144.29403MR201414
2. [2] Beilinson A., Higher regulators and values of L-functions, Sovremennye Problemy Matematiki24 (1984) 181-238, (en russe). Zbl0588.14013MR760999
3. [3] Beilinson A., Bernstein J., Deligne P., Faisceaux pervers, in: Analyse et topologie sur les espaces singuliers, Astérisque, vol. 100, SMF, 1982. Zbl0536.14011MR751966
4. [4] Bloch S., Algebraic cycles and algebraic K-theory, Adv. in Math.61 (3) (1986) 267-304. Zbl0608.14004MR852815
5. [5] Bloch S., The moving lemma for higher Chow groups, J. Algebraic Geom.3 (3) (1994) 537-568. Zbl0830.14003MR1269719
6. [6] Borel A., Stable real cohomology of arithmetic groups, Ann. Sci. Éc. Nom. Sup.7 (1974) 235-272. Zbl0316.57026MR387496
7. [7] Borel A., Cohomologie de ${\mathrm{SL}}_n$ et valeurs de fonctions zêta aux points entiers, Ann. Scuola Normale Superiore4 (1977) 613-636. Zbl0382.57027MR506168
8. [8] Buchsbaum A., Satellites and exact functors, Ann. of Math.71 (2) (1960) 199-209. Zbl0095.16505MR112905
9. [9] Chen K.T., Iterated integrals of differential forms and loop space homology, Ann. of Math.97 (1973) 217-246. Zbl0227.58003MR380859
10. [10] Chen K.T., Reduced Bar Constructions on de Rham complexes, in: Algebra, Topology and Category Theory, a collection of papers in honor of Samuel Eilenberg, Academic Press, 1976, pp. 19-32. Zbl0341.57034MR413151
11. [11] Deligne P., Le groupe fondamental de la droite projective moins trois points, in: Galois Groups over $Q$, MSRI Publ., vol. 16, Springer-Verlag, 1989, pp. 79-313. Zbl0742.14022MR1012168
12. [12] Deligne P., Catégories tannakiennes, in: Grothendieck Festschrift, vol. 2, Progress in Math., vol. 87, Birkhäuser, 1990, pp. 111-195. Zbl0727.14010MR1106898
13. [13] Deligne P., Morgan J., Notes on supersymmetry, in: Quantum Fields and Strings : A Course for Mathematicians, vol. 1, AMS, 1999. Zbl1170.58302MR1701597
14. [14] Demazure M., Gabriel P., Groupes algébriques, Masson, 1970. Zbl0203.23401
15. [15] Goncharov A.B., Polylogarithms in arithmetic and geometry, in: Proc. ICM Zurich, Birkhäuser, 1994, pp. 374-387. Zbl0849.11087MR1403938
16. [16] Goncharov A.B., The dihedral Lie algebras and Galois symmetries of ${\pi }_1(P^1-\{0,\infty \}\cup {\mu }_N)$, Duke Math. J.110 (3) (2001) 397-487. Zbl1113.14020MR1869113
17. [17] Hain R., Matsumoto M., Weighted completion of Galois groups and Galois actions on the fundamental group of $P^1-\{0,1,\infty \}$, Compositio Math.139 (2) (2003) 119-167. Zbl1072.14021MR2025807
18. [18] Hain R., Zucker S., Unipotent variations of mixed Hodge structure, Inv. Math.88 (1987) 83-124. Zbl0622.14007MR877008
19. [19] Hanamura M., Mixed motives and algebraic cycles I, Math. Res. Lett.2 (6) (1995) 811-821, See also II, Inv. Math.158 (1) (2004) 105-179. Zbl0867.14003MR1362972
20. [20] Huber A., Mixed Motives and their Realization in Derived Categories, Lecture Notes in Math., vol. 1604, Springer-Verlag, 1995. Zbl0938.14008MR1439046
21. [21] Huber A., Realization of Voevodsky's motives, J. Algebraic Geom.9 (2000) 755-799, Corrigendum, Ibid.13 (1) (2004) 195-207. Zbl1058.14033MR2008720
22. [22] Jannsen U., Mixed Motives and Algebraic K-Theory, Lecture Notes in Math., vol. 1400, Springer-Verlag, 1990. Zbl0691.14001MR1043451
23. [23] Kubert D., The universal ordinary distribution, Bull. SMF107 (1979) 79-202. Zbl0409.12021MR545171
24. [24] Levine M., Tate motives and the vanishing conjectures for algebraic K-theory, in: Algebraic K-Theory and Algebraic Topology, Lake Louise, 1991, NATO Adv. Sci. Inst. Ser. C Math. Phys., vol. 407, Kluwer, 1993, pp. 167-188. Zbl0885.19001MR1367296
25. [25] Levine M., Bloch's higher Chow groups revisited, in: K-theory, Strasbourg, 1992, Astérisque, vol. 226, SMF, 1994, pp. 235-320. Zbl0817.19004MR1317122
26. [26] Levine M., Mixed Motives, Math. Surveys and Monographs, vol. 57, AMS, 1998. Zbl0902.14003MR1623774
27. [27] Racinet G., Doubles mélanges des polylogarithmes multiples aux racines de l'unité, Publ. Math. IHÉS95 (2002) 185-231. Zbl1050.11066MR1953193
28. [28] Rapoport M., Comparison of the regulators of Beilinson and of Borel, in: Beilinson's Conjectures on Special Values of L-Functions, Perspectives in Math., vol. 4, Academic Press, 1988, pp. 169-192. Zbl0667.14005MR944994
29. [29] Reutenauer C., Free Lie Algebras, LMS Monographs New Ser., vol. 7, Oxford University Press, 1993. Zbl0798.17001MR1231799
30. [30] Schneider P., Introduction to the Beilinson conjectures, in: Beilinson's Conjectures on Special Values of L-Functions, Perspectives in Math., vol. 4, Academic Press, 1988, pp. 1-35. Zbl0673.14007MR944989
31. [31] Terasoma T., Multiple zeta values and mixed Tate motives, Inv. Math.149 (2) (2002) 339-369. Zbl1042.11043MR1918675
32. [32] Voevodsky V., Triangulated categories of motives over a field, in: Cycles, Transfer and Motivic Homology Theories, Ann. of Math. Studies, vol. 143, Princeton University Press, 2000, pp. 188-238. Zbl1019.14009MR1764202
33. [33] Washington L.C., Introduction to cyclotomic fields, Graduate Texts in Math., vol. 81, Springer-Verlag, 1997. Zbl0484.12001MR1421575
34. [34] Wojtkowiak Z., Cosimplicial objects in algebraic geometry, in: Algebraic K-Theory and Algebraic Topology, Lake Louise, 1991, NATO Adv. Sci. but. Ser. C Math. Phys., vol. 407, Kluwer, 1993, pp. 287-327. Zbl0916.14006MR1367304

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