Skip to main content
SpringerLink
Log in

Adele rings of global field of positive characteristc

  • Published:
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. T. Honda,Isogeny classes of abelian varieties over finite fields, J. Math. Soc. Japan 20, 1968, 83–95.

    Article  MATH  MathSciNet  Google Scholar 

  2. K. Iwasawa,On the rings of valuation vectors, Ann. Math 57, 1953, 331–356.

    Article  MathSciNet  Google Scholar 

  3. K. Komatsu.On the adele rings of algebraic number fields, preprint.

  4. S. Lang,Elliptic Functions, Addison-Wesley, Reading, Mass, 1973, Appendix 1 by J. Tate.

    MATH  Google Scholar 

  5. J. Lewittes,Riemann Surfaces and the theta functions, Acta Math. 111, 1964, 37–61.

    Article  MATH  MathSciNet  Google Scholar 

  6. H. Martens,Three lectures on the classical theory of Jacobian varieties, Algebraic geometry, Oslo, 1970: Wolters-Noodhoff, Groningen, 1972.

    Google Scholar 

  7. T. Matsusaka,On a theorem of Torelli, AJM 80 (1958), 784–800.

    Article  MATH  MathSciNet  Google Scholar 

  8. A. Mayer,Generating curves on abelian varieties and Riemann's theta-function, Ann. Scuola Norm. Sup. Pisa, Ser. III, 19, 1965, 107–111.

    MATH  Google Scholar 

  9. J. Tate,Classes d'isogénie des variétés abéliennes sur un corps fini, Sem. Bourbaki 21, 1968/69, No. 352.

    Google Scholar 

  10. J. Tate,Endomorphisms of abelian varieties over finite fields, Invent. Math. 2, 1966, 134–144.

    Article  MATH  MathSciNet  Google Scholar 

  11. S. Turner,Principal polarizations of abelian surfaces over finite fields, to appear.

  12. W. Waterhouse,Abelian varieties over finite fields, Ann. Scient. Éc. Norm. Sup, 4, t. 2, 1969, 521–560.

    MathSciNet  Google Scholar 

  13. A. Weil,Basic Number Theory, Die Grundlehren der math. Wissenschaften, Band 144, Springer-Verlag, Berlin and New York, 1967.

    MATH  Google Scholar 

  14. A. Weil,Courbes algébriques et varietés abéliennes, Hermann, Paris, 1971.

    MATH  Google Scholar 

  15. A. Weil,Sur certains groupes d'opérateurs unitaires, Acta Math., 111, 1964, 143–211.

    Article  MATH  MathSciNet  Google Scholar 

  16. A. Weil,Zum Beweis des Torellischen Satzes, Nachrichten der Akademie der Wissenschaften in Göttingen 2 (1957), 33–53.

    MathSciNet  Google Scholar 

  17. O. Zariski and P. Samuel,Commutative Algebra, Van Nostrand Princeton, 1960.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matemática, Pontificia Universidade Católica do Rio de Janeiro, Rua Marquês de São Vicente 209/263, Rio de Janeiro, Brasil

    Stuart Turner

Authors
  1. Stuart Turner
    View author publications

    You can also search for this author in PubMed Google Scholar

About this article

Cite this article

Turner, S. Adele rings of global field of positive characteristc. Bol. Soc. Bras. Mat 9, 89–95 (1978). https://doi.org/10.1007/BF02584796

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02584796

Keywords

Search

Navigation