Skip to main content
SpringerLink
Log in

On supersingular abelian varieties

  • Conference paper
  • First Online:
Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1008))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Demazure, M.-Lectures on p-divisible groups. Lecture Notes in Mathematics, No. 302, Springer Verlag, Berlin, Heidelberg, New York (1972).

    MATH  Google Scholar 

  2. Honda, T.-On the Jacobian variety of the algebraic curve y2=l-xl over a field characteristic p>0. Osaka J. Math. 3, pp. 189–194 (1966)

    MathSciNet  MATH  Google Scholar 

  3. Katz, N.-Slope filtration of F-crystals. Asterisque 64, 1979

    Google Scholar 

  4. Katz, N.-Crystalline Cohomology, Dieudonne Modules and Jacobi sums. In Automorphic forms, Representation theory and Arithmetic, Tata Institute of Fundamental Research, Bombay 1979

    Google Scholar 

  5. Koblitz, N.-p-adic variation of the zeta function of families of varieties defined over finite fields. Comp. Math. 31, pp. 119–218 (1975)

    MathSciNet  MATH  Google Scholar 

  6. Manin, Y.I.-The Hasse-Witt matrix of an algebraic curve. Amer. Math. Soc. Transl. Ser. 45, pp. 245–264, (1965)

    Article  MATH  Google Scholar 

  7. Manin, Y.I.-On the theory of Abelian varieties over fields of finite characteristics. Izv. Akad. Nauk. SSSR, Ser. Math. 26, pp. 281–292 (1962)

    MathSciNet  Google Scholar 

  8. Oort, F.-Finite group schemes, local moduli for abelian varieties and lifting problems. Alg. Geom. Oslo 1970, Walters-Noordhoff, 1972

    Google Scholar 

  9. Oort, F.-Abelian varieties: Moduli and lifting properties. Alg. Geom. Copenhagen 1978, Lecture Notes in Mathematics, No. 732, Springer Verlag, Berlin, Heidelberg, New York 1979

    Google Scholar 

  10. Yui, N.-On the Jacobian varieties of hyperelliptic curves over fields of characteristic p>0. Jour. of Alg. 52, pp. 378–410 (1978)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Princeton University, Fine Hall, 08544, Princeton, N.J.

    Niels O. Nygaard

Authors
  1. Niels O. Nygaard
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

I. Dolgachev

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Nygaard, N.O. (1983). On supersingular abelian varieties. In: Dolgachev, I. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1008. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065702

Download citation

  • DOI: https://doi.org/10.1007/BFb0065702

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12337-8

  • Online ISBN: 978-3-540-40971-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation