An additive version of higher Chow groups
Bloch, Spencer ; Esnault, Hélène
Annales scientifiques de l'École Normale Supérieure, Tome 36 (2003), p. 463-477 / Harvested from Numdam
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@article{ASENS_2003_4_36_3_463_0,
     author = {Bloch, Spencer and Esnault, H\'el\`ene},
     title = {An additive version of higher Chow groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {36},
     year = {2003},
     pages = {463-477},
     doi = {10.1016/S0012-9593(03)00015-6},
     mrnumber = {1977826},
     zbl = {1100.14014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_2003_4_36_3_463_0}
}

Bloch, Spencer; Esnault, Hélène. An additive version of higher Chow groups. Annales scientifiques de l'École Normale Supérieure, Tome 36 (2003) pp. 463-477. doi : 10.1016/S0012-9593(03)00015-6. http://gdmltest.u-ga.fr/item/ASENS_2003_4_36_3_463_0/

[1] Aomoto K., Un théorème du type de Matsushima-Murakami concernant l'intégrale des fonctions multiformes, J. Math. Pures Appl. 52 (1973) 1-11. | MR 396563 | Zbl 0276.32003

[2] Beilinson A., Goncharov A., Schechtman V., Varchenko A., Aomoto dilogarithms, mixed Hodge structures, and motivic cohomology of a pair of triangles in the plane, in: The Grothendieck Festschrift, Birkhäuser, 1990, pp. 131-172. | Zbl 0737.14003

[3] Bloch S., Algebraic cycles and higher K-theory, Adv. Math. 61 (3) (1986) 267-304. | MR 852815 | Zbl 0608.14004

[4] Brieskorn E., Sur les groupes de tresses, in: Sém. Bourbaki 401, Lect. Notes in Math., 317, Springer, Berlin, 1973, pp. 21-44. | Numdam | MR 422674 | Zbl 0277.55003

[5] Cathelineau J.-L., Remarques sur les différentielles des polylogarithmes uniformes, Ann. Inst. Fourier, Grenoble 46 (5) (1996) 1327-1347. | Numdam | MR 1427128 | Zbl 0861.19003

[6] Goncharov A., Volumes of hyperbolic manifolds and mixed Tate motives, JAMS 12 (2) (1999) 569-618. | MR 1649192 | Zbl 0919.11080

[7] Nesterenko Yu., Suslin A., Homology of the general linear group over a local ring, and Milnor's K-theory, Izv. Akad. Nauk SSSR Ser. Math. 53 (1) (1989) 121-146, translation in: , Math. USSR-Izv. 34 (1) (1990) 121-145. | MR 992981 | Zbl 0684.18001

[8] Totaro B., Milnor K-theory is the simplest part of algebraic K-theory, K-Theory 6 (2) (1992) 177-189. | MR 1187705 | Zbl 0776.19003

[9] Voevodsky V., Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic, Int. Math. Res. Not. 7 (7) (2002) 351-355. | MR 1883180 | Zbl 1057.14026