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Splitting fields of principal homogeneous spaces

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Number Theory

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

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References

  1. S. Arakelov, "An intersection theory for divisors on an arithmetic surface", Izv. Akad. Nauk. 38.

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

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 N. Elkies, "On a least energy problem", unpublished.

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

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

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

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

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

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Author information

Authors and Affiliations

  1. Department of Mathematics, Columbia University, 10027, New York, N.Y.

    Paul Hriljac

Authors
  1. Paul Hriljac
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Editor information

David V. Chudnovsky Gregory V. Chudnovsky Harvey Cohn Melvyn B. Nathanson

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© 1987 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17669-5

  • Online ISBN: 978-3-540-47756-3

  • eBook Packages: Springer Book Archive

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