Skip to main content
Log in

On some arithmetic problems related to the hodge cycles on the fermat varieties

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Aoki, N., Shioda, T.: Generators of the Néron-Severi group of a Fermat surface (to appear)

  2. Borevich, Z.I., Shafarevich, I.R.: Number theory. New York, London: Academic Press 1966

    Google Scholar 

  3. Koblitz, N., Rohrlich, D.: Simple factors in the Jacobian of a Fermat curve. Can. J. Math.30, 1183–1205 (1978)

    Google Scholar 

  4. Koblitz, N., Ogus, A.: Algebraicity of some products of values of the Γ function. Appendix to Deligne's article in: AMS Proc. Symp. Pure Math.33, 343–345 (1979)

    Google Scholar 

  5. Kubert, D., Lang, S.: Modular units. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  6. Kubert, D.: The universal ordinary distribution. Bull. Soc. Math. France107, 179–202 (1979)

    Google Scholar 

  7. Meyer, W., Neutsch, W.: Fermatquadrupel. Math. Ann.256, 51–62 (1981)

    Google Scholar 

  8. Ran, Z.: Cycles on Fermat hypersurfaces. Compositio Math.42, 121–142 (1981)

    Google Scholar 

  9. Shioda, T.: the Hodge conjecture for Fermat varieties. Math. Ann.245, 175–184 (1979)

    Google Scholar 

  10. Shioda, T.: On the Picard number of a Fermat surface. J. Fac. Sci. Univ. Tokyo.28, 725–734 (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aoki, N. On some arithmetic problems related to the hodge cycles on the fermat varieties. Math. Ann. 266, 23–54 (1983). https://doi.org/10.1007/BF01458703

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458703

Keywords

Navigation