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1 - Zero-cycles on surfaces

from LECTURES ON ALGEBRAIC CYCLES

Published online by Cambridge University Press:  05 July 2014

Spencer Bloch
Spencer Bloch
Affiliation:
University of Chicago
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Lectures on Algebraic Cycles , pp. 9 - 24
Publisher: Cambridge University Press
Print publication year: 2010

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References

[1] A., Beauville, Surfaces algébriques complexes, Astérisque, 59 (1978), as well as the references cited there.Google Scholar
[2] S., Bloch, A., Kas, and D., Lieberman, Zero cycles on surfaces with Pg = 0, Compositio Math., 33 (1976), 135-145Google Scholar
[3] H., Inose and M., Mizukami, Rational equivalence of 0-cycles on some surfaces of general type with pg = 0, Math. Ann., 244 (1979), no. 3, 205-217.Google Scholar
[4] D., Mumford, Rational equivalence of zero-cycles on surfaces, J. Math. Kyoto Univ., 9 (1968), 195-204Google Scholar
[5] A.A., Roitman, Γ-equivalence of zero-dimensional cycles (in Russian), Mat. Sb. (N.S.), 86 (128) (1971), 557-570. [Translation: Math USSR-Sb., 15 (1971), 555-567.]Google Scholar
[6] A. A., Roitman, Rational equivalence of zero-dimensional cycles (in Russian), Mat. Sb. (N.S.), 89 (131) (1972), 569-585, 671. [Translation: Math. USSR-Sb., 18 (1974), 571-588.]Google Scholar
[7] A., Mattuck, Ruled surfaces and the Albanese mapping, Bull. Amer. Math. Soc., 75 (1969), 776-779.CrossRefGoogle Scholar
[8] A., Mattuck, On the symmetric product of a rational surface, Proc. Amer. Math. Soc., 21 (1969), 683-688.CrossRefGoogle Scholar
[9] S., Bloch, K2 of Artinian Q-algebras with application to algebraic cycles, Comm. Algebra, 3 (1975), 405-428.CrossRefGoogle Scholar
[10] T., Fatemi, L'equivalence rationelle des zéro cycles sur les surfaces algébriques complexes a cup product surjectif, These du 3e cycle, Université de Paris VII (1979).
[11] C. H., Clemens and P. A., Griffiths, The intermediate Jacobian of the cubic threefold, Ann. of Math. (2), 95 (1972), 281-356.CrossRefGoogle Scholar
[12] A. N., Tyurin, Five lectures on three-dimensional varieties (in Russian), Uspehi Mat. Nauk, 27 (1972), no. 5, (167) 3-50. [Translation: Russian Math. Surveys, 27 (1972), no. 5, 1-53.]Google Scholar
[13] S., Bloch, Some elementary theorems about algebraic cycles on abelian varieties, Invent. Math., 37 (1976), 215-228.CrossRefGoogle Scholar
[14] S., Bloch, An example in the theory of algebraic cycles, pp. 1-29 in Algebraic K-Theory, Lecture Notes in Math., no. 551, Springer, Berlin (1976).
[15] S., Kleiman, Algebraic cycles and the Weil conjectures, pp. 359-386 in Dix exposés sur la cohomologie des schémas, North Holland, Amsterdam (1968).
D., Mumford, Rational equivalence of 0-cycles on surfaces, J. Math. Kyoto Univ., 9 (1968), 195-204.CrossRefGoogle Scholar
A. A., Roitman, Rational equivalence of zero-dimensional cycles (in Russian), Mat. Sb. (N.S.), 89 (131) (1972), 569-585, 671. [Translation: Math. USSR-Sb., 18 (1974), 571-588.]Google Scholar

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  • Zero-cycles on surfaces
  • Spencer Bloch, University of Chicago
  • Book: Lectures on Algebraic Cycles
  • Online publication: 05 July 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511760693.003
Available formats
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  • Zero-cycles on surfaces
  • Spencer Bloch, University of Chicago
  • Book: Lectures on Algebraic Cycles
  • Online publication: 05 July 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511760693.003
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Zero-cycles on surfaces
  • Spencer Bloch, University of Chicago
  • Book: Lectures on Algebraic Cycles
  • Online publication: 05 July 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511760693.003
Available formats
×