Skip to main content
Log in

Exceptional hodge classes on certain 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.

Institutional subscriptions

References

  1. Deligne, P.: Hodge cycles on abelian varieties (notes by J. Milne). Lecture Notes in Mathematics 900, pp. 9–100. Berlin, Heidelberg, New York: Springer 1982

    Google Scholar 

  2. Hazama, F.: Algebraic cycles on an abelian variety with many endomorphisms. Preprint

  3. Mumford, D.: A note on Shimura's paper “Discontinuous subgroups and abelian varieties”. Math. Ann.181, 345–351 (1969)

    Google Scholar 

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

    Google Scholar 

  5. Murty, V. K.: Algebraic cycles on abelian varieties. Duke Math. J.50, 487–504 (1983).

    Google Scholar 

  6. Pohlman, H.: Algebraic cycles on abelian varieties with complex multiplication. Ann. Math.88, 161–180 (1968)

    Google Scholar 

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

    Google Scholar 

  8. Shimura, G.: On analytic families of polarized abelian varieties and automorphic functions. Ann. Math.78, 149–192 (1963)

    Google Scholar 

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

    Google Scholar 

  10. Weil, A.: Abelian varieties and the Hodge ring. In: Collected Papers, Vol. III, pp. 421–429. Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by NSF grant MCS-8108814 (A01)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Murty, V.K. Exceptional hodge classes on certain abelian varieties. Math. Ann. 268, 197–206 (1984). https://doi.org/10.1007/BF01456085

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456085

Keywords

Navigation