Skip to main content
Log in

Twists of central simple algebras and endomorphism algebras of some 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

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

Instant access to the full article PDF.

References

  1. Deligne, P.: SGA 4 1/2, Lect. Notes Math. 569. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  2. Faltings, V.G.: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math.73, 349–366 (1983)

    Google Scholar 

  3. Henniart, G.: Représentationsl-adiques abélinnes. Semin. D.P.P. 107–126 (1981)

  4. Mumford, D.: Abelian varieties. Oxford, London 1970

  5. Reiner, I.: Maximal orders. New York: Academic Press, 1975

    Google Scholar 

  6. Ribet, K.: Galois action on division points of abelian varieties with many real multiplications. Am. J. Math.98, 751–804 (1976)

    Google Scholar 

  7. Ribet, K.: Galois representations attached to eigenforms with Nebentypus. Lect. Notes Math. 601, Berlin, Heidelberg, New York: 17–52. Springer 1977

    Google Scholar 

  8. Ribet, K.: Twist of modular forms and endomorphisms of abelian varieties. Math. Ann.253, 43–62 (1980)

    Google Scholar 

  9. Ribet, K.: Endomorphism algebras of abelian varieties attached to newforms of weight 2. Semin. D.P.P. 263–276 (1979–1980)

  10. Serre, J.P., Tate, J.: Good reduction of abelian varieties. Ann. Math.88, 492–517 (1968)

    Google Scholar 

  11. Serre, J.P.: Cohomologie Galoisienne. Lect. Notes Math. 5. Berlin, Heidelberg, New York: Springer 1964

    Google Scholar 

  12. Serre, J.P.: Abelianl-adic representations and elliptic curves. New York: Benjamin, 1968

    Google Scholar 

  13. Shimura, G., Taniyama, Y.: Complex multiplication of abelian varieties and its applications to number theory. Publ. Math. Soc. Japan6 (1961)

  14. Shimura, G.: Introduction to the arithmetical theory of automorphic functions. Publ. Math. Soc. Japan11 (1971)

  15. Weil, A.: Basic number theory. Berlin, Heidelberg, New York: Springer 1967

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chi, W. Twists of central simple algebras and endomorphism algebras of some abelian varieties. Math. Ann. 276, 615–632 (1987). https://doi.org/10.1007/BF01456990

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456990

Keywords

Navigation