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Arithmetic distance functions and height functions in diophantine geometry

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References

  1. Deligne, P.: Preuve des conjectures de Tate et Shafarevitch (d'après G. Faltings). Sém. Bourbaki616, 1983/84, 1–17

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  2. Faltings, G.: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern. Invent. Math.73, 349–366 (1983)

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  3. Hartshorne, R.: Algebraic geometry. Berlin, Heidelberg, New York: Springer 1977

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  4. Lang, S.: Fundamentals of diophantine geometry. Berlin, Heidelberg, New York: Springer 1983

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  5. Silverman, J.: Heights and metrized line bundles. In: Arithmetic Geometry (Storrs 1984), pp. 161–166. Berlin, Heidelberg, New York: Springer 1986

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Author notes

  1. Joseph H. Silverman

    Present address: Mathematics Department, Boston University, 02215, Boston, MA, USA

Authors and Affiliations

  1. Mathematics Department 2-271, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    Joseph H. Silverman

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  1. Joseph H. Silverman
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This research partially supported by an NSF Post-doctoral Fellowship

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Silverman, J.H. Arithmetic distance functions and height functions in diophantine geometry. Math. Ann. 279, 193–216 (1987). https://doi.org/10.1007/BF01461718

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  • DOI: https://doi.org/10.1007/BF01461718

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