On the Chow groups of certain rational surfaces

Spencer Bloch

Annales scientifiques de l'École Normale Supérieure (1981)

  • Volume: 14, Issue: 1, page 41-59
  • ISSN: 0012-9593

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Bloch, Spencer. "On the Chow groups of certain rational surfaces." Annales scientifiques de l'École Normale Supérieure 14.1 (1981): 41-59. <http://eudml.org/doc/82066>.

@article{Bloch1981,
author = {Bloch, Spencer},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Chow group; Galois cohomology; Neron-Severi torus; K2; finiteness theorem; vanishing theorem; rational surfaces},
language = {eng},
number = {1},
pages = {41-59},
publisher = {Elsevier},
title = {On the Chow groups of certain rational surfaces},
url = {http://eudml.org/doc/82066},
volume = {14},
year = {1981},
}

TY - JOUR
AU - Bloch, Spencer
TI - On the Chow groups of certain rational surfaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1981
PB - Elsevier
VL - 14
IS - 1
SP - 41
EP - 59
LA - eng
KW - Chow group; Galois cohomology; Neron-Severi torus; K2; finiteness theorem; vanishing theorem; rational surfaces
UR - http://eudml.org/doc/82066
ER -

References

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  2. [2] H. BASS, and J. TATE, The Milnor Ring of a Global Field, in Algebraic K-Theory II (Springer Lecture Notes in Math., No. 342, Springer-Verlag, 1973). Zbl0299.12013MR56 #449
  3. [3] F. CHÂTELET, Points rationnels sur certaines courbes et surfaces cubiques (Enseignement math., Vol. 5, 1959, pp. 153-170). Zbl0100.27404MR24 #A85
  4. [4] J.-L. COLLIOT-THÉLÈNE and D. CORAY, L'équivalence rationnelle sur les points fermés des surfaces rationnelles fibrées en coniques (Compositic Mathematica, Vol. 39, 1979, pp. 301-332). Zbl0386.14003MR81d:14008
  5. [5] J.-L. COLLIOT-THÉLÈNE and J.-J. SANSUC, La R-équivalence sur les tores (Ann. scient. Éc. Norm. Sup., T. 10, 1977, pp. 175-230). Zbl0356.14007MR56 #8576
  6. [6] R. ELMAN and T. Y. LAM, On the Quaternion Symbol Homomorphism gF : k2F → B (F), in Algebraic K-Theory II (Springer Lecture Notes in Math., No. 342, Springer-Verlag, 1973). Zbl0267.10030MR52 #272
  7. [7] T. Y. LAM, The Algebraic Theory of Quadratic Forms, W. A. Benjamin, Inc., New York, 1973. Zbl0259.10019MR53 #277
  8. [8] YU. MANIN, Le groupe de Brauer-Grothendieck en géométrie diophantienne (Actes Congrès Int. Math., Nice, 1970, pp. 401-411). Zbl0239.14010
  9. [9] YU. MANIN, Cubic Forms, North Holland, Amsterdam, 1974. Zbl0277.14014
  10. [10] J. MILNOR, Algebraic K-Theory and Quadratic Forms (Inventiones Math., Vol. 9, 1970, pp. 318-344). Zbl0199.55501MR41 #5465
  11. [11] J. MILNOR, Introduction to Algebraic K-Theory (Ann. Math., Studies, No. 72, Princeton University Press, 1971). Zbl0237.18005MR50 #2304
  12. [12] D. QUILLEN, Higher Algebraic K-Theory, in Algebraic K-Theory I (Lecture Notes in Math., No. 341, Springer-Verlag, 1973). Zbl0292.18004MR49 #2895
  13. [13] J.-P. SERRE, Corps Locaux, Hermann, Paris, 1962. Zbl0137.02601MR27 #133
  14. [14] C. Sherman, K-Cohomology of Regular Schemes, (to appear in Communications in Algebra). 
  15. [15] J.-L. COLLIOT-THÉLÈNE and J.-J. SANSUC, A Series of Notes in C. R. Acad. Sc., T. 282, série A, 1976 ; T. 284, série A, 1977 ; T. 284, 1977 ; T. 287, série A, 1978. 
  16. [16] S. LANG, Rapport sur la cohomologie des groupes, Benjamin, New York, 1966. Zbl0171.28903

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