Skip to main content

Splitting fields of principal homogeneous spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1240)

Keywords

  • Line Bundle
  • Elliptic Curve
  • Number Field
  • Canonical Isomorphism
  • Effective Divisor

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. S. Arakelov, "An intersection theory for divisors on an arithmetic surface", Izv. Akad. Nauk. 38.

    Google Scholar 

  2. J.W.S. Cassels, "Arithmetic curves of genus 1 (IV). Proof of the Hauptvermutung", J. reine Angew, Math., 211.

    Google Scholar 

  3. N. Elkies, "On a least energy problem", unpublished.

    Google Scholar 

  4. G. Faltings "Calculus on arithmetic surfaces", Annals of Math., 119.

    Google Scholar 

  5. P. Hriljac, "A proof of the adjunction formuls", forthcoming.

    Google Scholar 

  6. P. Hriljac, "Heights and Arakelov's intersection theory", Amer. J. of Math., 107.

    Google Scholar 

  7. S. Lang, "Elliptic curves: diophantine analysis", Springer-Verlag, 1978.

    Google Scholar 

  8. S. Lang and J. Tate, "Principal homogeneous spaces over abelian varieties", Amer. J. of Math, 80.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Hriljac, P. (1987). Splitting fields of principal homogeneous spaces. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072982

Download citation

  • DOI: https://doi.org/10.1007/BFb0072982

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17669-5

  • Online ISBN: 978-3-540-47756-3

  • eBook Packages: Springer Book Archive