Torsion algebraic cycles and a theorem of Roitman

S. Bloch

Compositio Mathematica (1979)

  • Volume: 39, Issue: 1, page 107-127
  • ISSN: 0010-437X

How to cite


Bloch, S.. "Torsion algebraic cycles and a theorem of Roitman." Compositio Mathematica 39.1 (1979): 107-127. <>.

author = {Bloch, S.},
journal = {Compositio Mathematica},
keywords = {torsion cycles; Chow group; Albanese variety; Abel-Jacobi mapping; algebraic K-theory},
language = {eng},
number = {1},
pages = {107-127},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Torsion algebraic cycles and a theorem of Roitman},
url = {},
volume = {39},
year = {1979},

AU - Bloch, S.
TI - Torsion algebraic cycles and a theorem of Roitman
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 39
IS - 1
SP - 107
EP - 127
LA - eng
KW - torsion cycles; Chow group; Albanese variety; Abel-Jacobi mapping; algebraic K-theory
UR -
ER -


  1. [1] S. Bloch and J. Murre: On the Chow groups of certain Fano three-folds (to appear). Zbl0426.14018
  2. [2] S. Bloch and A. Ogus: Gersten's conjecture and the homology of schemes. Ann. Éc. Norm. Sup. t. 7, fasc. 2, (1974). Zbl0307.14008MR412191
  3. [3] P. Deligne: La conjecture de Weil, I, Publ. Math.I.H.E.S., 43 (1974) 273-307. Zbl0287.14001MR340258
  4. [4] P. Deligne: Cohomologie Étale SGA41/2, Lecture Notes in Math.569, Springer Verlag (1977). Zbl0349.14008MR463174
  5. [5] P. Griffiths: Some results on algebraic cycles on algebraic manifolds, Algebraic Geometry, Bombay Colloquium, Oxford University Press, 1969. Zbl0206.49803MR257092
  6. [6] D. Quillen: Higher algebraic K-theory I, Proceedings of the Seattle Conference on K-theory, Lecture Notes in Math.346, Springer Verlag. MR338129
  7. [7] A.A. Roitman: Private correspondence. 
  8. [8] P. Samuel: Relations d'équivalence en géométrie algébrique, Proceedings of the International Congress of Mathematicians, Cambridge, 470-487 (1958). Zbl0119.36901MR116010
  9. [9] P. Deligne and N. Katz: SGA7, Lecture Notes in Math.349, Springer Verlag (1973). MR349635

Citations in EuDML Documents

  1. Hiroshi Saito, Generalization of Abel's theorem and some finiteness property of zero-cycles on surfaces
  2. S. Bloch, J. P. Murre, On the Chow group of certain types of Fano threefolds
  3. J. S. Milne, Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem
  4. Noriyuki Suwa, Sur l'image de l'application d'Abel-Jacobi de Bloch
  5. Bruno Kahn, Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini
  6. Chad Schoen, On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field

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