Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem
Compositio Mathematica (1982)
- Volume: 47, Issue: 3, page 271-287
- ISSN: 0010-437X
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topMilne, J. S.. "Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem." Compositio Mathematica 47.3 (1982): 271-287. <http://eudml.org/doc/89575>.
@article{Milne1982,
author = {Milne, J. S.},
journal = {Compositio Mathematica},
keywords = {nonzero characteristic; Chow group of zero cycles; Albanese variety; Quillen K-sheaves; surface over finite field; fundamental group},
language = {eng},
number = {3},
pages = {271-287},
publisher = {Martinus Nijhoff Publishers},
title = {Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem},
url = {http://eudml.org/doc/89575},
volume = {47},
year = {1982},
}
TY - JOUR
AU - Milne, J. S.
TI - Zero cycles on algebraic varieties in nonzero characteristic : Rojtman's theorem
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 3
SP - 271
EP - 287
LA - eng
KW - nonzero characteristic; Chow group of zero cycles; Albanese variety; Quillen K-sheaves; surface over finite field; fundamental group
UR - http://eudml.org/doc/89575
ER -
References
top- [1] S. Bloch: Torsion algebraic cycles and a theorem of Roitman. Comp. Math.39 (1979) 107-127. Zbl0463.14002MR539002
- [2] S. Bloch: Lectures on algebraic cycles. Duke Math. Series IV. Duke University, 1980. Zbl0436.14003MR558224
- [3] P. Cartier: Questions de rationalité des diviseurs en géometrie algébrique. Bull. Soc. Math. France86 (1958) 177-251. Zbl0091.33501MR106223
- [4] R. Hartshorne: Ample subvarieties of algebraic varieties. Lecture Notes in Math.156. Springer, Heidelberg, 1970. Zbl0208.48901MR282977
- [5] R. Hartshorne: Algebraic geometry. Springer, Heidelberg, 1977. Zbl0367.14001MR463157
- [6] L. Illusie: Complexe de De Rham-Witt et cohomologie cristalline. Ann. Sc. Ec. Norm. Sup.12 (1979) 501-661. Zbl0436.14007MR565469
- [7] K. Kato: A generalization of local class field theory by using K-groups I. J. Fac. Sci., Univ. of Tokyo, Sec. IA 26 (1979) 303-376 II ibid., 27 (1980) 603-683. Zbl0463.12006MR550688
- [8] K. Kato: Galois cohomology of complete discrete valuation fields. Proc. Oberwolfach Conference on Algebraic K-theory, June 1980. Lecture Notes in Math.Springer, to appear. Zbl0506.12022MR689394
- [9] S. Lang: On quasi algebraic closure. Ann. of Math.55 (1952) 373-390. Zbl0046.26202MR46388
- [10] J. Milne: On the conjectures of Birch and Swinnerton-Dyer. Thesis, Harvard University, 1967.
- [11] J. Milne: Duality in the flat cohomology of a surface. Ann. Sc. Ec. Norm. Sup.9 (1976) 171-202. Zbl0334.14010MR460331
- [12] J. Milne: Etale cohomology. Princeton Univ. Press, Princeton, 1980. Zbl0433.14012MR559531
- [13] F. Oort: Commutative group schemes. Lecture Notes in Math. 15. Springer, Heidelberg, 1966. Zbl0216.05603MR213365
- [14] A Paršin: Abelian coverings of arithmetic schemes. Soviet Math Dokl19 (1978) 1438-1442. Zbl0443.12006
- [15] D. Quillen: Higher algebraic K-theory I. Proc. of Seattle Conference on K-theory, pp. 85-147. Lecture Notes in Math. 341, Springer, Heidelberg, 1973. Zbl0292.18004MR338129
- [16] A. Roitman: The torsion of the group of O-cycles modulo rational equivalence. Ann. of Math.111 (1980) 553-569. Zbl0504.14006MR577137
- [17] J.-P. Serre: Corps locaux. Hermann, Paris, 1962. Zbl0137.02601MR354618
Citations in EuDML Documents
top- Spencer Bloch, M. Pavaman Murthy, Lucien Szpiro, Zero cycles and the number of generators of an ideal
- Marc N. Levine, V. Srinivas, Zero cycles on certain singular elliptic surfaces
- Michel Gros, Classes de Chern et classes de cycles en cohomologie de Hodge-Witt logarithmique
- J. S. Milne, Motivic cohomology and values of zeta functions
- Antoine Chambert-loir, Points rationnels et groupes fondamentaux : applications de la cohomologie -adique
- 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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