Skip to main content

Witt realization of the p-adic Barsotti-Tate groups; some applications

Part of the Lecture Notes in Mathematics book series (LNM,volume 1454)

Keywords

  • Theta Function
  • Abelian Variety
  • Negative Index
  • Witt Vector
  • Affine Algebra

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I. Barsotti, Metodi analitici per le varietà abeliane in caratteristica positiva, seven chapters divided into five publications in Ann. Scuola Norm. Sup. Pisa, from 18 (1964) to 20 (1966).

    Google Scholar 

  2. —, Varietà abeliane su corpi p-adici, Symp Math. 1 (1968), 109–173.

    MATH  Google Scholar 

  3. —, Bivettori, Symp. Math. 24 (1981), 23–63.

    MathSciNet  MATH  Google Scholar 

  4. —, Analytical methods for abelian varieties in positive characteristic, Colloque sur la théorie des groupes algébriques, Bruxelles, 1962, 78–85.

    MATH  Google Scholar 

  5. J-M Fontaine, Modules galoisiens, modules filtrés et anneaux de Barsotti-Tate, Asterisque 65 III (1979), 3–80.

    MathSciNet  MATH  Google Scholar 

  6. N. Katz, Serre-Tate local moduli, in "Surfaces Algébriques", Lecture Notes in Math., vol. 868, Springer-Verlag, 1981, 138–202.

    Google Scholar 

  7. L. Breen, Function thêta et théorème du cube, Lecture Notes in Math., vol. 980, Springer-Verlag, 1983.

    Google Scholar 

  8. M. Candilera and V. Cristante, Biextension associated to divisors on abelian varieties and theta functions, Ann. Scuola Norm. Sup. Pisa 10 (1983), 437–491.

    MathSciNet  MATH  Google Scholar 

  9. M. Candilera, Riduzione di funzioni theta, Thesis, University of Padova, 1986–87.

    Google Scholar 

  10. V. Cristante, Theta functions and Barsotti-Tate groups, Ann. Scuola Norm. Sup.Pisa 7 (1980), 181–215.

    MathSciNet  MATH  Google Scholar 

  11. B. Mazur and W. Messing, Universal extensions and one dimensional crystalline cohomology, Lecture Notes in Math., vol. 370, Springer-Verlag, 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

Cristante, V. (1990). Witt realization of the p-adic Barsotti-Tate groups; some applications. In: Baldassarri, F., Bosch, S., Dwork, B. (eds) p-adic Analysis. Lecture Notes in Mathematics, vol 1454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091140

Download citation

  • DOI: https://doi.org/10.1007/BFb0091140

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53477-8

  • Online ISBN: 978-3-540-46906-3

  • eBook Packages: Springer Book Archive