Torsion algebraic cycles and a theorem of Roitman
Compositio Mathematica (1979)
- Volume: 39, Issue: 1, page 107-127
- ISSN: 0010-437X
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topBloch, S.. "Torsion algebraic cycles and a theorem of Roitman." Compositio Mathematica 39.1 (1979): 107-127. <http://eudml.org/doc/89412>.
@article{Bloch1979,
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 = {http://eudml.org/doc/89412},
volume = {39},
year = {1979},
}
TY - JOUR
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 - http://eudml.org/doc/89412
ER -
References
top- [1] S. Bloch and J. Murre: On the Chow groups of certain Fano three-folds (to appear). Zbl0426.14018
- [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] P. Deligne: La conjecture de Weil, I, Publ. Math.I.H.E.S., 43 (1974) 273-307. Zbl0287.14001MR340258
- [4] P. Deligne: Cohomologie Étale SGA41/2, Lecture Notes in Math.569, Springer Verlag (1977). Zbl0349.14008MR463174
- [5] P. Griffiths: Some results on algebraic cycles on algebraic manifolds, Algebraic Geometry, Bombay Colloquium, Oxford University Press, 1969. Zbl0206.49803MR257092
- [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] A.A. Roitman: Private correspondence.
- [8] P. Samuel: Relations d'équivalence en géométrie algébrique, Proceedings of the International Congress of Mathematicians, Cambridge, 470-487 (1958). Zbl0119.36901MR116010
- [9] P. Deligne and N. Katz: SGA7, Lecture Notes in Math.349, Springer Verlag (1973). MR349635
Citations in EuDML Documents
top- Hiroshi Saito, Generalization of Abel's theorem and some finiteness property of zero-cycles on surfaces
- S. Bloch, J. P. Murre, On the Chow group of certain types of Fano threefolds
- J. S. Milne, Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem
- Noriyuki Suwa, Sur l'image de l'application d'Abel-Jacobi de Bloch
- Bruno Kahn, Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini
- 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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