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Integral points on curves and surfaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1380)

Keywords

  • Integral Point
  • Abelian Variety
  • Height Function
  • Counting Function
  • Elliptic Surface

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References

  1. Apostel, T, Introduction to Analytic Number Theory, Springer-Verlag, N.Y., 1976

    Google Scholar 

  2. Beauville, Complex Algebraic Surfaces, LMS Lecture Notes 68, Cambridge University Press, 1983

    Google Scholar 

  3. Call, G., Local Heights on Families of Abelian Varieties, thesis, Harvard, 1986

    Google Scholar 

  4. Faltings, G., Endlichkeitsätz für abelsche Varietäten über Zahlkörpern, Invent. Math. 73 (1983), 349–366

    CrossRef  MathSciNet  Google Scholar 

  5. Hartshorne, R., Algebraic Geometry, GTM 52, Springer-Verlag, 1977

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  6. Lang, S., Fundamentals of Diophantine Geometry, Springer-Verlag, N.Y., 1983

    CrossRef  MATH  Google Scholar 

  7. Mumford, D., A remark on Mordell's conjecture, Amer. J. of Math. 87 (1965), 1007–1016

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Schanuel, S., Heights in number fields, Bull. Soc. Math. France 107 (1979), 433–449

    MathSciNet  MATH  Google Scholar 

  9. Schmidt, W., Integer points on curves and surfaces, Monatsh. Math. 99 (1985), 45–72

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Silverman, J., Integral points on Abelian varieties, Invent. Math. 81 (1985), 341–346

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Silverman, J., The Arithmetic of Elliptic Curves, GTM 106, Springer-Verlag, N.Y., 1986

    CrossRef  MATH  Google Scholar 

  12. Silverman, J., Integral points on abelian surfaces are widely spaced, Compositio Math. 61 (1987), 253–266

    MathSciNet  MATH  Google Scholar 

  13. Vojta, Paul, Diophantine approximations and value distribution theory, Lecture Notes in Math. 1239, Springer-Verlag, 1987

    Google Scholar 

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© 1989 Springer-Verlag

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Silverman, J.H. (1989). Integral points on curves and surfaces. In: Schlickewei, H.P., Wirsing, E. (eds) Number Theory. Lecture Notes in Mathematics, vol 1380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086555

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  • DOI: https://doi.org/10.1007/BFb0086555

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51397-1

  • Online ISBN: 978-3-540-46205-7

  • eBook Packages: Springer Book Archive