Skip to main content
SpringerLink
Log in

Algebraic groups associated with abelian 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

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. Borel, A.: Linear algebraic groups. New York: Benjamin 1969

    Google Scholar 

  2. Bourbaki, N.: Groupes et algébres de Lie. (Eléments de Math., vol. 38) Paris: Hermann 1975

    Google Scholar 

  3. Deligne, P.: Hodge cycles on abelian varieties. (Lect. Notes Math., vol. 900, pp. 9–100) Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  4. Fontaine, J.M.: Groupesp-divisibles sur les corps locaux. Astérisque47–48 (1979)

  5. Hazama, F.: Algebraic cycles on nonsimple abelian varieties. Duke Math. J.58, 31–37 (1989)

    Google Scholar 

  6. Ichikawa, T.: On algebraic groups of Mumford-Tate type. Adv. Stud. Pure Math.12, 249–258 (1978)

    Google Scholar 

  7. Mumford, D.: Families of abelian varieties. Proc. Symp. Pure Math.9, 347–351 (1966)

    Google Scholar 

  8. Mumford, D.: Abelian varieties. Oxford: Oxford University Press 1974

    Google Scholar 

  9. Murty, V. K.: Exceptional Hodge classes on certain abelian varieties. Math. Ann.268, 197–206 (1984)

    Google Scholar 

  10. Ribet, K.: Hodge classes on certain abelian varieties. Am. J. Math.105, 523–538 (1983)

    Google Scholar 

  11. Satake, I.: Holomorphic imbeddings of symmetric domains into a Siegel space. Am. J. Math.87, 425–461 (1965)

    Google Scholar 

  12. Sen, S.: Lie algebras of Galois groups arising from Hodge-Tate modules. Ann. Math.97, 160–170 (1978)

    Google Scholar 

  13. Serre, J.P.: Groupes algébriques associés aux modules Hodge-Tate. Journeés de Géometrie Algébrique. Astérisque65, 155–187 (1979)

    Google Scholar 

  14. Tankeev, S.G.: On algebraic cycles on surfaces and abelian varieties. Math. USSR Izv.18, 349–380 (1982)

    Google Scholar 

  15. Tankeev, S.G.: Cycles on simple abelian varieties of prime dimension. Izv. Akad. Nauk SSSR Ser. Mat.46, 155–170 (1982)

    Google Scholar 

  16. Weyl, H.: The classical groups. Princeton: Princeton University Press 1946

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kyushu University 33, 812, Fukuoka, Japan

    Takashi Ichikawa

Authors
  1. Takashi Ichikawa
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ichikawa, T. Algebraic groups associated with abelian varieties. Math. Ann. 289, 133–142 (1991). https://doi.org/10.1007/BF01446564

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01446564

Keywords

Search

Navigation