Integral points on abelian surfaces are widely spaced

Joseph H. Silverman

Compositio Mathematica (1987)

  • Volume: 61, Issue: 2, page 253-266
  • ISSN: 0010-437X

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Silverman, Joseph H.. "Integral points on abelian surfaces are widely spaced." Compositio Mathematica 61.2 (1987): 253-266. <http://eudml.org/doc/89824>.

@article{Silverman1987,
author = {Silverman, Joseph H.},
journal = {Compositio Mathematica},
keywords = {height functions; finitely many integral points; abelian varieties},
language = {eng},
number = {2},
pages = {253-266},
publisher = {Martinus Nijhoff Publishers},
title = {Integral points on abelian surfaces are widely spaced},
url = {http://eudml.org/doc/89824},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Silverman, Joseph H.
TI - Integral points on abelian surfaces are widely spaced
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 2
SP - 253
EP - 266
LA - eng
KW - height functions; finitely many integral points; abelian varieties
UR - http://eudml.org/doc/89824
ER -

References

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  1. Brown, M.L.: Schémas en groupes et lemme de zéros. Problèmes Diophantiens, Publ. Math. de l'Univ. P.&M. CurieNo. 73, ed. by D. Bertrand and M. Waldschmidt (1984-85). 
  2. Faltings, G.: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern. Inv. Math.73 (1983) 349-366. Zbl0588.14026MR718935
  3. Lang, S.: Fundamentals of Diophantine Geometry. Springer-Verlag (1983). Zbl0528.14013MR715605
  4. Mumford, D.: A remark on Mordell's conjecture. Am. J. of Math.87 (1965) 1007-1016. Zbl0151.27301MR186624
  5. Mumford, D.: Abelian Varieties, Oxford University Press, 1974. Zbl0326.14012
  6. Silverman, J.: The Arithmetic of Elliptic Curves, Graduate Texts in Math. 106, Springer-Verlag (1986). Zbl0585.14026MR817210
  7. Silverman, J.: Arithmetic distance functions and height functions in Diophantine geometry. To appear. Zbl0607.14013MR919501
  8. Szpiro, L.: Séminaire sur les pinceaux arithmétiques: la conjecture de Mordell, Astérisque127, Soc. Math. de France (1985). Zbl0588.14028MR801916
  9. Vojta, P.: A higher dimensional Mordell conjecture. In: Arithmetic Geometry, ed. by G. Cornell and J. Silverman. Springer-Verlag (1986) 334-346. Zbl0605.14019MR861984

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