Skip to main content
Log in

The Weil pairing and the Hilbert symbol

  • 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. Husemöller, D.: Elliptic curves (Grad. Texts Math., vol. 111) Berlin Heidelberg New York: Springer 1987

    Google Scholar 

  2. Lang, S.: Abelian varieties. New York: Interscience 1959

    Google Scholar 

  3. Milne, J. S.: Abelian varieties. In: Cornell, G., Silverman, J. H. (eds.): Arithmetic geometry (pp. 103–150) Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  4. Milne, J. S.: Jacobian varieties. In: Cornell, G., Silverman, J. H. (eds.): Arithmetic geometry (pp. 167–212) Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  5. Schmidt, H. L.: Über das Reziprozitätsgesatz in relativ-zyklischen algebraischen Funktionkörpern mit endlichem Konstantenkörper. Math. Z.40, 94–109 (1936)

    Google Scholar 

  6. Serre, J.-P.: Algebraic groups and class fields (Grad. Texts Math., vol. 117) Berlin Heidelberg New York: Springer 1988

    Google Scholar 

  7. Silverman, J. H.: The arithmetic of elliptic curves (Grad. Texts Math., vol. 106) Berlin Heidelberg New York: Springer 1986

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by NSA grant number MDA 904-95-H-1044.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Howe, E.W. The Weil pairing and the Hilbert symbol. Math. Ann. 305, 387–392 (1996). https://doi.org/10.1007/BF01444229

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01444229

Mathematics Subject Classifications (1991)

Navigation