@article{ASENS_2005_4_38_1_1_0,
author = {Deligne, Pierre and Goncharov, Alexander B.},
title = {Groupes fondamentaux motiviques de {Tate} mixte},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {1--56},
year = {2005},
publisher = {Elsevier},
volume = {4e s{\'e}rie, 38},
number = {1},
doi = {10.1016/j.ansens.2004.11.001},
mrnumber = {2136480},
zbl = {1084.14024},
language = {fr},
url = {https://www.numdam.org/articles/10.1016/j.ansens.2004.11.001/}
}
TY - JOUR AU - Deligne, Pierre AU - Goncharov, Alexander B. TI - Groupes fondamentaux motiviques de Tate mixte JO - Annales scientifiques de l'École Normale Supérieure PY - 2005 SP - 1 EP - 56 VL - 38 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.ansens.2004.11.001/ DO - 10.1016/j.ansens.2004.11.001 LA - fr ID - ASENS_2005_4_38_1_1_0 ER -
%0 Journal Article %A Deligne, Pierre %A Goncharov, Alexander B. %T Groupes fondamentaux motiviques de Tate mixte %J Annales scientifiques de l'École Normale Supérieure %D 2005 %P 1-56 %V 38 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.ansens.2004.11.001/ %R 10.1016/j.ansens.2004.11.001 %G fr %F ASENS_2005_4_38_1_1_0
Deligne, Pierre; Goncharov, Alexander B. Groupes fondamentaux motiviques de Tate mixte. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 38 (2005) no. 1, pp. 1-56. doi: 10.1016/j.ansens.2004.11.001
[1] , Generators and relations for cyclotomic units, Nagoya Math. J. 27 (1966) 401-407. | Zbl | MR
[2] , Higher regulators and values of L-functions, Sovremennye Problemy Matematiki 24 (1984) 181-238, (en russe). | Zbl | MR
[3] , , , Faisceaux pervers, in: Analyse et topologie sur les espaces singuliers, Astérisque, vol. 100, SMF, 1982. | Zbl | MR
[4] , Algebraic cycles and algebraic K-theory, Adv. in Math. 61 (3) (1986) 267-304. | Zbl | MR
[5] , The moving lemma for higher Chow groups, J. Algebraic Geom. 3 (3) (1994) 537-568. | Zbl | MR
[6] , Stable real cohomology of arithmetic groups, Ann. Sci. Éc. Nom. Sup. 7 (1974) 235-272. | Zbl | MR | Numdam
[7] , Cohomologie de et valeurs de fonctions zêta aux points entiers, Ann. Scuola Normale Superiore 4 (1977) 613-636. | Zbl | MR | Numdam
[8] , Satellites and exact functors, Ann. of Math. 71 (2) (1960) 199-209. | Zbl | MR
[9] , Iterated integrals of differential forms and loop space homology, Ann. of Math. 97 (1973) 217-246. | Zbl | MR
[10] , 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. | Zbl | MR
[11] , Le groupe fondamental de la droite projective moins trois points, in: Galois Groups over , MSRI Publ., vol. 16, Springer-Verlag, 1989, pp. 79-313. | Zbl | MR
[12] , Catégories tannakiennes, in: Grothendieck Festschrift, vol. 2, Progress in Math., vol. 87, Birkhäuser, 1990, pp. 111-195. | Zbl | MR
[13] , , Notes on supersymmetry, in: Quantum Fields and Strings : A Course for Mathematicians, vol. 1, AMS, 1999. | Zbl | MR
[14] , , Groupes algébriques, Masson, 1970.
[15] , Polylogarithms in arithmetic and geometry, in: Proc. ICM Zurich, Birkhäuser, 1994, pp. 374-387. | Zbl | MR
[16] , The dihedral Lie algebras and Galois symmetries of , Duke Math. J. 110 (3) (2001) 397-487. | Zbl | MR
[17] , , Weighted completion of Galois groups and Galois actions on the fundamental group of , Compositio Math. 139 (2) (2003) 119-167. | Zbl | MR
[18] , , Unipotent variations of mixed Hodge structure, Inv. Math. 88 (1987) 83-124. | Zbl | MR
[19] , Mixed motives and algebraic cycles I, Math. Res. Lett. 2 (6) (1995) 811-821, See also II, Inv. Math. 158 (1) (2004) 105-179. | Zbl | MR
[20] , Mixed Motives and their Realization in Derived Categories, Lecture Notes in Math., vol. 1604, Springer-Verlag, 1995. | Zbl | MR
[21] , Realization of Voevodsky's motives, J. Algebraic Geom. 9 (2000) 755-799, Corrigendum, Ibid. 13 (1) (2004) 195-207. | Zbl | MR
[22] , Mixed Motives and Algebraic K-Theory, Lecture Notes in Math., vol. 1400, Springer-Verlag, 1990. | Zbl | MR
[23] , The universal ordinary distribution, Bull. SMF 107 (1979) 79-202. | Zbl | MR | Numdam
[24] , 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. | Zbl | MR
[25] , Bloch's higher Chow groups revisited, in: K-theory, Strasbourg, 1992, Astérisque, vol. 226, SMF, 1994, pp. 235-320. | Zbl | MR | Numdam
[26] , Mixed Motives, Math. Surveys and Monographs, vol. 57, AMS, 1998. | Zbl | MR
[27] , Doubles mélanges des polylogarithmes multiples aux racines de l'unité, Publ. Math. IHÉS 95 (2002) 185-231. | Zbl | MR | Numdam
[28] , 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. | Zbl | MR
[29] , Free Lie Algebras, LMS Monographs New Ser., vol. 7, Oxford University Press, 1993. | Zbl | MR
[30] , 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. | Zbl | MR
[31] , Multiple zeta values and mixed Tate motives, Inv. Math. 149 (2) (2002) 339-369. | Zbl | MR
[32] , 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. | Zbl | MR
[33] , Introduction to cyclotomic fields, Graduate Texts in Math., vol. 81, Springer-Verlag, 1997. | Zbl | MR
[34] , 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. | Zbl | MR
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