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8 - Soulé's Regulator Map

Published online by Cambridge University Press:  05 March 2015

Ralph Greenberg
Affiliation:
University of Washington, Seattle, USA
John Coates
Affiliation:
University of Cambridge
A. Raghuram
Affiliation:
Indian Institute of Science Education and Research, Pune
Anupam Saikia
Affiliation:
Indian Institute of Technology, Guwahati
R. Sujatha
Affiliation:
University of British Columbia, Vancouver
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Publisher: Cambridge University Press
Print publication year: 2015

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References

[DF85] Dwyer, W. G., and Friedlander, E. M. 1985. Algebraic and etale K-theory. Trans. Amer. Math. Soc., 292, 247–280.Google Scholar
[Gr81] Greenberg, R. 1981. On the Jacobian variety of some algebraic curves. Comp. Math., 42, 345–359.Google Scholar
[Iw73] Iwasawa, K. 1973. On Zℓ-extensions of algebraic number fields. Ann. of Math., 98, 246–326.Google Scholar
[Ku92] Kurihara, M. 1992. Some remarks on conjectures about cyclotomic fields and K-groups over Z. Comp. Math., 81, 223–236.Google Scholar
[Li15] Lichtenbaum, S. 2015. Soulé's theorem. in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 130–139.
[LS78] Lee, R., and Szczarba, R. H. 1978. On the torsion in K4(Z) and K5(Z), with addendum by C. Soulé. Duke Math. Jour., 45, 101–132.Google Scholar
[So79] Soulé, C. 1979. K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale. Inv. Math., 55, 251–295.Google Scholar
[So81] Soulé, C. 1981. On higher p-adic regulators. Lect. Notes in Math., 854, 372–401. Springer-Verlag.

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  • Soulé's Regulator Map
  • Edited by John Coates, University of Cambridge, A. Raghuram, Indian Institute of Science Education and Research, Pune, Anupam Saikia, Indian Institute of Technology, Guwahati, R. Sujatha, University of British Columbia, Vancouver
  • Book: The Bloch–Kato Conjecture for the Riemann Zeta Function
  • Online publication: 05 March 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316163757.009
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  • Soulé's Regulator Map
  • Edited by John Coates, University of Cambridge, A. Raghuram, Indian Institute of Science Education and Research, Pune, Anupam Saikia, Indian Institute of Technology, Guwahati, R. Sujatha, University of British Columbia, Vancouver
  • Book: The Bloch–Kato Conjecture for the Riemann Zeta Function
  • Online publication: 05 March 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316163757.009
Available formats
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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.

  • Soulé's Regulator Map
  • Edited by John Coates, University of Cambridge, A. Raghuram, Indian Institute of Science Education and Research, Pune, Anupam Saikia, Indian Institute of Technology, Guwahati, R. Sujatha, University of British Columbia, Vancouver
  • Book: The Bloch–Kato Conjecture for the Riemann Zeta Function
  • Online publication: 05 March 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316163757.009
Available formats
×