An additive version of higher Chow groups

Spencer Bloch; Hélène Esnault

Annales scientifiques de l'École Normale Supérieure (2003)

  • Volume: 36, Issue: 3, page 463-477
  • ISSN: 0012-9593

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Bloch, Spencer, and Esnault, Hélène. "An additive version of higher Chow groups." Annales scientifiques de l'École Normale Supérieure 36.3 (2003): 463-477. <http://eudml.org/doc/82607>.

@article{Bloch2003,
author = {Bloch, Spencer, Esnault, Hélène},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {3},
pages = {463-477},
publisher = {Elsevier},
title = {An additive version of higher Chow groups},
url = {http://eudml.org/doc/82607},
volume = {36},
year = {2003},
}

TY - JOUR
AU - Bloch, Spencer
AU - Esnault, Hélène
TI - An additive version of higher Chow groups
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2003
PB - Elsevier
VL - 36
IS - 3
SP - 463
EP - 477
LA - eng
UR - http://eudml.org/doc/82607
ER -

References

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  1. [1] Aomoto K., Un théorème du type de Matsushima–Murakami concernant l'intégrale des fonctions multiformes, J. Math. Pures Appl.52 (1973) 1-11. Zbl0276.32003MR396563
  2. [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. Zbl0737.14003
  3. [3] Bloch S., Algebraic cycles and higher K-theory, Adv. Math.61 (3) (1986) 267-304. Zbl0608.14004MR852815
  4. [4] Brieskorn E., Sur les groupes de tresses, in: Sém. Bourbaki 401, Lect. Notes in Math., 317, Springer, Berlin, 1973, pp. 21-44. Zbl0277.55003MR422674
  5. [5] Cathelineau J.-L., Remarques sur les différentielles des polylogarithmes uniformes, Ann. Inst. Fourier, Grenoble46 (5) (1996) 1327-1347. Zbl0861.19003MR1427128
  6. [6] Goncharov A., Volumes of hyperbolic manifolds and mixed Tate motives, JAMS12 (2) (1999) 569-618. Zbl0919.11080MR1649192
  7. [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. Zbl0684.18001MR992981
  8. [8] Totaro B., Milnor K-theory is the simplest part of algebraic K-theory, K-Theory6 (2) (1992) 177-189. Zbl0776.19003MR1187705
  9. [9] Voevodsky V., Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic, Int. Math. Res. Not.7 (7) (2002) 351-355. Zbl1057.14026MR1883180

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