Number Theory pp 214-229

Splitting fields of principal homogeneous spaces

  • Paul Hriljac
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1240)

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References

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    S. Arakelov, "An intersection theory for divisors on an arithmetic surface", Izv. Akad. Nauk. 38.Google Scholar
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    J.W.S. Cassels, "Arithmetic curves of genus 1 (IV). Proof of the Hauptvermutung", J. reine Angew, Math., 211.Google Scholar
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    N. Elkies, "On a least energy problem", unpublished.Google Scholar
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    G. Faltings "Calculus on arithmetic surfaces", Annals of Math., 119.Google Scholar
  5. [Hr]
    P. Hriljac, "A proof of the adjunction formuls", forthcoming.Google Scholar
  6. [Hr2]
    P. Hriljac, "Heights and Arakelov's intersection theory", Amer. J. of Math., 107.Google Scholar
  7. [L]
    S. Lang, "Elliptic curves: diophantine analysis", Springer-Verlag, 1978.Google Scholar
  8. [L-T]
    S. Lang and J. Tate, "Principal homogeneous spaces over abelian varieties", Amer. J. of Math, 80.Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Paul Hriljac
    • 1
  1. 1.Department of MathematicsColumbia UniversityNew York

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