Skip to main content Accessibility help
×
Hostname: page-component-77c89778f8-n9wrp Total loading time: 0 Render date: 2024-07-17T13:18:57.377Z Has data issue: false hasContentIssue false

7 - Diophantine questions

from LECTURES ON ALGEBRAIC CYCLES

Published online by Cambridge University Press:  05 July 2014

Spencer Bloch
Affiliation:
University of Chicago
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] F., Châtelet, Points rationnels sur certaines courbes et surfaces cubiques, Enseignement Math. (2), 5 (1959), 153-170 (1960).Google Scholar
[2] J.-L., Colliot-Thélène and J.-J., Sansuc, Series of notes on rational varieties and groups of multiplicative type, C. R. Acad. Sci. Paris Ser. A-B, 282 (1976), A1113-A1116; 284 (1977), A967-A970; 284 (1977), A1215-A1218; 287 (1978), A449-A452.Google Scholar
[3] J.-L., Colliot-Thélène and J.-J., Sansuc, La R-èquivalence sur les tores, Ann. Sci. École Norm. Sup. (4), 10 (1977), 175-229.CrossRefGoogle Scholar
[4] J.-L., Colliot-Thélène and D., Coray, L'équivalence rationnelle sur les points fermés des surfaces rationnelles fibrées en coniques, Compositio Math., bf 39 (1979), 301-332.Google Scholar
[5] Yu., Manin, Cubic Forms, North Holland, Amsterdam (1974). [Second edition, 1986.]
[6] Yu., Manin, Le groupe de Brauer–Grothendieck en géométrie diophantienne, pp. 401-411 in Actes du Congrès International Mathématiciens (Nice, 1970), vol. 1, Gauthier-Villars, Paris (1971).
[7] H., Bass and J., Tate, The Milnor ring of a global field, pp. 349-446 in Algebraic K-Theory II, Lecture Notes in Math., no. 342, Springer, Berlin (1973).
[8] J., Milnor, Algebraic K-theory and quadratic forms, Invent. Math., 9 (1970), 318-344.CrossRefGoogle Scholar
[9] J., Milnor, Introduction to Algebraic K-Theory, Annals of Mathematics Studies, vol. 72, Princeton University Press, Princeton, N.J. (1971).
[10] T. Y., Lam, The Algebraic Theory of Quadratic Forms, W. A. Benjamin, Reading, Mass. (1973). [Revised second printing, 1980. See also Introduction to Quadratic Forms over Fields, American Mathematical Society, Providence, R.I., 2005.]
[11] A., Grothendieck, Le groupe de Brauer I, II, III, pp. 46-188 in Dix exposés sur la cohomologie des schémas, North Holland, Amsterdam (1968).
[12] T., Nakayama, Cohomology of class field theory and tensor product modules I, Ann. of Math. (2), 65 (1957), 255-267.CrossRefGoogle Scholar
[13] J. P., Serre, Corps Locaux, second edition, Hermann, Paris (1968). [Translation: Local Fields, Springer, New York, 1979.]
[14] H., Gillet, Applications of algebraic K-theory to intersection theory, Thesis, Harvard (1978).
[15] C., Sherman, K-cohomology of regular schemes, Comm. Algebra, 7 (1979), 999-1027.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Diophantine questions
  • Spencer Bloch, University of Chicago
  • Book: Lectures on Algebraic Cycles
  • Online publication: 05 July 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511760693.009
Available formats
×

Save book to Dropbox

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 Dropbox.

  • Diophantine questions
  • Spencer Bloch, University of Chicago
  • Book: Lectures on Algebraic Cycles
  • Online publication: 05 July 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511760693.009
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.

  • Diophantine questions
  • Spencer Bloch, University of Chicago
  • Book: Lectures on Algebraic Cycles
  • Online publication: 05 July 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511760693.009
Available formats
×